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How do you find the Least Common Multiple (LCM) of two or more numbers?

Learn to calculate the LCM of numbers such as 12 and 15. Understand multiples, factors, and skip counting. Practice finding the LCM of 4, 7, and 12 step by step.

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How do you find the Least Common Multiple (LCM) of two or more numbers?

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

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

  7. Create a list of multiples for each number. Multiples of 15 The set of the first five multiples of 15 is 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}.

  8. The set of the first five multiples of 12 is {12, 24, 36, 48, 60}. The set of the first five multiples of 15 is {15, 30, 45, 60, 75}. 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 12of 4?of 7? 12 x 1 = 12 yes no The LCM of 4, 7 and 12 is 84. yes no 12 x 2 = 24 no yes 12 x 3 = 36 no yes 12 x 4 = 48 yes no 12 x 5 = 60 yes no 12 x 6 = 72 yes yes 12 x 7 = 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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