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Least Common Multiple

Least Common Multiple. Vocabulary. Multiple – the product of the number and any nonzero whole number. Common Multiple – a multiple that is shared by two or more numbers. Least Common Multiple – the least of the common multiple. Word Problem.

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Least Common Multiple

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  1. Least Common Multiple

  2. Vocabulary • Multiple – the product of the number and any nonzero whole number. • Common Multiple – a multiple that is shared by two or more numbers. • Least Common Multiple – the least of the common multiple

  3. Word Problem • Mrs. Krueger is training for a biathlon. She will swim every sixth day and bicycle every eighth day. On what day will she both swim and bicycle? • What does the LCM represent in this situation?

  4. Find the LCM. • 7 and 8 • 12 and 30

  5. Using Prime Factorization to Find LCM • Find the LCM of 84 and 360 using prime factorization.

  6. Find the LCM of the numbers by using prime factorization. • 3 and 5 • 12 and 16 • 36 and 72 • 54 and 126

  7. During February, Diego will water his ivy every third day, and water his cactus every fifth day. On which day will Diego first water both plants together?Will Diego water both plants together again in February? Why?

  8. Discuss with your elbow partner. • Given any two numbers, which is greater, the LCM or the numbers or the GCF of the numbers. Expain.

  9. White Boards • Find the LCM of each pair of numbers. • 8 and 56 • 5 and 11 • 25 and 50 • 14 and 21 • 16 and 24 • 14 and 21

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