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Finding the Least Common Multiple (LCM) of Numbers

Learn how to find the least common multiple of two or more numbers using prime factors and making a list. Solve problems involving LCM.

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Finding the Least Common Multiple (LCM) of Numbers

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  1. Transparency 4 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 4-3b Objective Find the least common multiple of two or more numbers

  4. Example 4-3b Vocabulary Multiple The product of a number and any whole number

  5. Example 4-3b Vocabulary Common multiple Multiples that are shared by two or more numbers

  6. Example 4-3b Vocabulary Least common multiple (LCM) The least of two or more number’s common multiples, excluding zero

  7. Example 4-3b Review Vocabulary Prime factorization Expressing a composite number as a product of prime numbers

  8. Lesson 4 Contents Example 1Find the LCM by Making a List Example 2Find the LCM by Using Prime Factors Example 3Use the LCM to Solve a Problem

  9. Example 4-1a Find the LCM of 24 and 9 Prime factor both 4 and 9 2 24 3 9 12 2 3 2 6 3 Circle the greatest power of each number and multiply 2  2  2  3  3 72 Answer:LCM = 72 1/3

  10. Example 4-1b Find the LCM of 6 and 14 by making a list. Answer:42 1/3

  11. Example 4-2a Find the LCM of 8 and 18. Prime factor both 8 and 18 2 8 18 2 2 4 3 9 3 2 Circle the greatest power of each number and multiply 2  2  2  3  3 Answer:LCM = 72 72 2/3

  12. Example 4-2c Find the LCM of 9 and 21. Answer:63 2/3

  13. Example 4-3a MONEYLiam, Eva, and Brady each have the same amount of money. Liam has only nickels, Eva has only dimes, and Brady has only quarters. What is the least amount of money that each of them could have? Prime factor each of the numbers 5, 10 and 25 5 10 25 2 5 5 5 Circle the greatest power of each number and multiply 5  5  2 Answer: LCM = 50 cents 50 3/3

  14. Example 4-3b * CANDYMichael, Logan, and Diego each have bags of candy that have the same total weight. Michael’s bag has candy bars that each weigh 4 ounces, Logan’s bag has candy bars that each weigh 6 ounces, and Diego’s bag has candy bars that each weigh 9 ounces. What is the least total weight that each of them could have? Answer:36 ounces 3/3

  15. End of Lesson 4 Assignment

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