How do you find the Least Common Multiple (LCM) of two or more numbers? For example, how do you find the Least Common Multiple of 12 and 15?

In this lesson you will learn how to find the Least Common Multiple of two or more numbers by creating and comparing a list of multiples for each.

Let’s Review A multiple is a product of two factors. 5 x 9 = is a multiple of 9 and 5.

Multiples are the result of skip counting. Multiples of 5 are 5, 10, 15, 20, 25…

A Common Misunderstanding Confusing multiples with factors Find the multiples of 25. 1, 5, 25

Core Lesson Multiples of x 1 = x 2 = x 3 = x 4 = x 5 = 60 {12, 24, 36, 48, 60}. The set of the first five multiples of 12 is Create a list of multiples for each number. How do you find the Least Common Multiple (LCM) of 12 and 15?

Multiples of x 1 = x 2 = x 3 = x 4 = x 5 = 75 {15, 30, 45, 60, 75}. The set of the first five multiples of 15 is Create a list of multiples for each number.

{12, 24, 36, 48, 60}. The set of the first five multiples of 12 is {15, 30, 45, 60, 75}. The set of the first five multiples of 15 is The Least Common Multiple of 12 and 15 is 60.

How do you find the Least Common Multiple (LCM) of 4, 7 and 12? Multiples of 12 of 4? of 7? 12 x 1 = 12 yes no 12 x 2 = 24 yes no 12 x 3 = 36 yes no 12 x 4 = 48 yes no 12 x 5 = 60 yes no 12 x 6 = 72 yes no 12 x 7 = 84 yes yes The LCM of 4, 7 and 12 is 84.

In this lesson you have learned to find the Least Common Multiple of two or more numbers by creating and comparing a list of multiples for each.