Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.4

Lesson 6.126.12 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can find the least common multiple (LCM) of two numbers by listing or comparing their multiples, explain why the method works, and use it on a problem I have not seen before.

Remember6.12 Small Group · Group 2

The LCM is the first time two skip-counting lists meet, and it is less than the product when the numbers share a factor. The LCM tells when two repeating events happen together again, and it is not always the product.

Words: Least Common Multiple (Mínimo común múltiplo)Multiple (Múltiplo)Common multiple (Múltiplo común)Skip counting (Conteo salteado)Prime factorization (Factorización prima)

  1. 1Complete each step, then write the final answer.

    Plates come in packs of 12. Cups come in packs of 8. You want the same number of plates and cups. What is the fewest plates you can buy?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Find the LCM of 9 and 15.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Two runners start a race together. One runs a lap in 12 minutes. The other runs a lap in 20 minutes. After how many minutes are they at the start together again?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Find the LCM of 6, 10 and 15.

    Show your work
    Final answer:

Explain your thinkingWhen is the LCM of two numbers equal to their product? When is it smaller? Give one example of each.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help