What is the least common multiple of 4 and 10?

Get ready for the NWEA Math 5th Grade Test with focused flashcards and multiple choice questions. Enhance your skills with hints and explanations. Excel on exam day!

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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