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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?

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Presentation on theme: "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?"— Presentation transcript:

1 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?

2 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.

3 Let’s Review A multiple is a product of two factors. 5 x 9 = 45 45 is a multiple of 9 and 5.

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

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

6 Core Lesson Multiples of 12 12 x 1 = 12 12 x 2 = 24 12 x 3 = 36 12 x 4 = 48 12 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?

7 Multiples of 15 15 x 1 = 15 15 x 2 = 30 15 x 3 = 45 15 x 4 = 60 15 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.

8 {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.

9 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.

10 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.


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