SSAT Math Question 242: Answer and Explanation

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Question: 242

6. What is the least common multiple of 5, 6, and 7?

  • A. 210
  • B. 105
  • C. 42
  • D. 35

Correct Answer: A

Explanation:

The answer is A

Break 6 into prime factors (5 and 7 are already prime): 2 and 3. Thus, the least common multiple must include 2, 3, 5, and 7. The result is 210.

You can list out multiples of all three numbers, but you will quickly see that this is time consuming. You can also test the answers to see which one or ones have 5, 6, and 7 as factors. Of the two answers that are divisible by all three numbers, choice (A) is smaller.

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