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

Lesson 6.126.12 · Part II

Apply Day · Set BSecond 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.

Remember6.12 · Part II

Least Common Multiple (LCM)

  1. Skip count multiples of each number starting with the larger number
  2. Identify the first non-zero multiple that appears in both lists
  3. Prime factorization method: Product of highest powers of all prime factors

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.

    Find the LCM of 2 and 7.

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

    Find the LCM of 6 and 8.

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

    The LCM of 4 and an odd number n is 28. What is n?

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

    A red light blinks every 4 seconds. A blue light blinks every 5 seconds. They blink together now. In how many seconds will they blink together again?

    Show your work
    Final answer:
  5. 5Complete 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:
  6. 6Complete each step, then write the final answer.

    Find the LCM of 6, 10 and 15.

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the LCM of 3 and 5?

    1. A3
    2. B5
    3. C15
    4. D30
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    What is the LCM of 6 and 8?

    1. A6
    2. B14
    3. C24
    4. D48
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    What is the LCM of 4 and 10?

    1. A2
    2. B10
    3. C20
    4. D40
    Show your work
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