Eight interesting least common multiple word problems you can give to your students to tease them. These factor and multiple worksheets are perfect for mastering the math topic concerning factors of numbers, like prime factor, greatest common factors, least common multiples and more. Greatest common factors and least common multiple greatest. Read each question carefully and think about what the question is asking. Greatest common factor and least common multiple word. Mixing gcf and lcm word problems encourages students to read and think about the questions, rather than simply recognizing a pattern to the solutions. Least common multiples find the least common multiple lcm of 8 and 12. In one example, well use the lcm to calculate the answer directly, and in the other well need it as a step to find the solution to the problem. Big idea clearly understanding the difference between factors and multiples builds a foundation for applications and problem solving using gcf and lcm. Word problems involving greatest common factor and least. Math prealgebra factors and multiples greatest common factor.
Greatest common factor and least common multiplier calculator. What is the greatest number of bouquets she can make. Word problems involving highest common factor and lowest common multiple read each question carefully and think about what the question is asking. How can you tell if a word problem requires you to use. Using prime factorizations to find the least common multiples 7. If youre behind a web filter, please make sure that the domains. Find the prime factors for each number draw a prime factor diagram remember numbers in the overlap hcf numbers in the whole diagram lcm. Least common multiple and greatest common factor lesson 18 6 2 example 2. The worksheets can be made in pdf or html formats, you can choose the number ranges, the number of problems, workspace, font size, and border. Greatest common factorleast common multiple word problems 1. If youre seeing this message, it means were having trouble loading external resources on our website.
Least common multiple find the least common multiple of 12 and 18. Today, both the soccer team and the basketball team had games. When students master the art of prime factoring and are able to determine the greatest common factors gcf or. Greatest common factor and least co mmon multiple stepby.
Here we have a couple of word problemsone searching for the least common multiple and the other for the greatest common factor. The lcm, least common multiple, is the smallest value that two or more. This 6page document is separated into 4 sections greatest common factor, least common multiple, a cheat sheet with tips and tricks, and word problems. Kamal has 6 cans of regular soda and 15 cans of diet soda. Lcm least common multiple math worksheetsprintables pdf. Brief notes, you try sections, and plenty of word problems are included. A product is the number produced by multiplying two factors. Greatest common divisor and least common multiple matrices on factor closed sets in a principal ideal domain article pdf available in journal of mathematics and statistics 54 april 2009. Word problems involving greatest common factor and least common multiple author.
To find either the least common multiple lcm or greatest common factor gcf of two numbers, you always start out the same way. Below are two grade 5 math worksheets with word problems needing the use of greatest common factors gcfs or least common multiples lcms to solve. Use the distributive property to express a sum of two whole numbers 1100 with a common. As 17 is a prime number, it only has 2 factors, but an infinite number of multiples. Finding the greatest common factor gcf and least common.
Listing proper factors and working with multiples are a very important component of the math curriculum as it is directly related to multiplication and division, working with denominators and fractions and of course algebra. Word problem involving the least common multiple of 2 numbers. Finding least common multiple lcm and greatest common factor gcf standard. On a separate piece of paper show your working out, with the number of the question. The common multiples of 8 and 12 are highlighted in bold. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.
Students will be able to solve problems involving greatest common factor and least common multiple. Finding the greatest common factor gcf and least common multiple lcm. In particular, the lesson will help you to identify and help students who. Using factor trees to find gcfs and lcms math hacks medium. Jul 24, 20 here we have a couple of word problems one searching for the least common multiple and the other for the greatest common factor. To factor a number write 1 and the number itself separated by some space. The least common multiple of 2 or more numbers is the smallest multiple of the common multiples. When will both teams have games on the same day again.
Greatest common factor gcf and least common multiple. Magellan has decided to make party baskets for the fund raiser. Lcm and gcf word problems factors and multiples pre. Inside the foldable, students will write the definitions for factor, greatest common factor, multiple, least common multiple, then complete 4 practice problems. Lcm least common multiple math worksheetsprintables pdf for kids lcm worksheets for kids to practice lcm problems. Pdf greatest common divisor and least common multiple. Greatest common factor and least common multiple worksheet complete all the problems. This problem can be solved using least common multiple because we are trying to figure out when the soonest least time will be that as the event of exercising continues multiple, it will occur at the same time common. Put a rectangle around the least of these common multiples. Both alternatives to the term are abbreviated as gcf and hcf respectively. The greatest common factor and greatest common divisor are exchangeable terms.
Print out this worksheet on finding the greatest common factor and get more practice either as a math quiz or test at home andor in the classroom. Least common multiple word problems basic mathematics. Print out this worksheet on finding the greatest common factor and get more practice either as a math quiz or test at home and or in the classroom. Word problems involving greatest common factor and least common multiple. Greatest common factor gcf and least common multiple lcm word problems grade 5 math word problems worksheet read and answer each question. Aug 09, 2016 were talkin greatest common factor and least common multiple and how they are all about numbers being connected under the umbrella of multiplication. Find the prime factors for each number draw a prime factor diagram remember numbers in the overlap hcf numbers in the whole diagram lcm 1. The soccer team plays every 3 days and the basketball team plays every 5 days. The product of the maximum occurrences of each prime factor in the numbers gives the least common multiple of the two numbers. Were talkin greatest common factor and least common multiple and how they are all about numbers being connected under the umbrella of multiplication. This lesson unit is intended to help you to assess how well students are able to understand the meanings of the terms greatest common factor gcf and least common multiple lcm. The least common multiple of two whole numbers is the smallest whole number greater than zero that is a multiple. The greatest common factor, or gcf, is the greatest factor that divides two numbers. Create free printable worksheets for finding the greatest common factor gfc and least common multiple lcm of up to 6 numbers.
Least common multiple and greatest common factor opening the greatest common factor of two whole numbers is the largest number that is a factor of both numbers think the biggest number that divides into both numbers. The least common multiple of two nonzero numbers and, written lcm, is the least whole number larger than zero, which is a multiple of both and. Word problem involving the least common multiple of 2. Greatest common factor and least common multiplier. Notes on greatest common factor and least common multiple.
If you need to find the greatest common factor, or the least common multiple, of two numbers, it is useful first to find the prime factorizations of the numbers. Least common multiple and greatest common factor worksheets. Greatest common factor or least common multiple to solve. Greatest common factor and least common multiple worksheets. Greatest common factor gcf a common multiple is a number that is a multiple of two or more numbers. M is the smallest number that is a common multiple of two or more numbers. Balloons are sold in bags of 20, party horns are sold in bags of 10, and there are 8 candy bars in a package. Gcf and lcm word problems worksheets lumos learning.
Today were going to look at a couple of examples in which we use the least common multiple lcm to solve math problems. The ladder method finding least common multiple lcm. Greatest common factor and least common multiple independent. Math mammoth grade 6a and grade 6b worktexts comprise a complete math curriculum for the sixth grade mathematics studies, aligned to the common core standards. Common multiples of 2 and 3 are 0, 6, 12, 18, the least common multiple lcm of two numbers is the smallest number excluding zero that is a multiple of both of the numbers.
Greatest common factors and least common multiples. She wants to make bouquets with the same number of each color flower in each bouquet. If she did all three activities today, in how many days will she do all three activities again on the same day. The greatest common factor is also called the highest common factor. At the gym, hillary swims every 6 days, runs every 4 days and cycles every 16 days. Maximum occurrences of the prime factors are 24 times. Choose one of these problems that has not yet been solved. Notes on greatest common factor and least common multiple factors are the numbers that multiply together to get another number. Finding the greatest common factor, 7th grade math pdf math. This part b covers the latter half of the 6th grade. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of. Greatest common factor gcf and least common multiple lcm. Free printable factor, multiples, factorization, prime. Worksheets for the greatest common factor gfc and least.
Students often confuse the term multiple with the term factor. Greatest common factor and least co mmon multiple step. Worksheets for the greatest common factor gfc and least common multiple lcm of. Multiply those factors both numbers have in common. Students solve 16 lcm and gcf word problem questions and match them up with appropriate letter. Social studies worksheets teacher worksheets math resources grade 6 math worksheets fractions worksheets multiplication gcf and lcm worksheets least common. Using the lcm least common multiple to solve problems. Find the greatest common factor of 2 or 3 integers. Greatest common factorleast common multiple word problems. If there are no common prime factors, the gcf is 1.