What is the least common multiple of 4 and 10?

Prepare for the NWEA Math 5th Grade Test with engaging flashcards and multiple-choice questions, complete with hints and explanations. Get exam-ready now!

To find the least common multiple (LCM) of two numbers, you are looking for the smallest number that both numbers can divide into without leaving a remainder.

First, let's list the multiples of 4 and 10:

  • The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, and so on.

  • The multiples of 10 are: 10, 20, 30, 40, 50, 60, and so on.

Next, we identify the common multiples from these lists. The first few common multiples of 4 and 10 are:

  • 20 (since 20 is both in the multiples of 4 and multiples of 10),

  • 40 (also in both lists).

Among these common multiples, 20 is the smallest. This means that the least common multiple of 4 and 10 is indeed 20.

Thus, the least common multiple, which is the smallest number that can be evenly divided by both 4 and 10, is correctly identified as 20.

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