What are Multiples? | Math Review

Multiples are sets of numbers that correspond to a base number that has been multiplied by other numbers. For example, the multiples of 3 include 3 (3×1), 6 (3×2), 9 (3×3), 12 (3×4), 15 (3×5), etc.; the multiples of 5 include, 5, 10, 15, 20, 25, etc.

Multiples

You can think of multiples as like counting by that number. For instance, the multiples of 2 would be 2, 4, 6, 8, 10 etc. The multiples of 3 would be 3, 6, 9, 12, 15, 18 etc. The multiples of 4 would be 4, 8, 12, 16, 20 and so on.

Sometimes you’re asked to find the LCM of two or more numbers. The LCM is the least common multiple. Least meaning the smallest, common meaning the same, and multiple.

If we wanted to find the LCM of, let’s say, 2 and 3 the least common multiple of 2 and 3 -the smallest number that 2 and 3 have in common- would be 6, so that’s the LCM of 2 and 3. The LCM of say 3 and 4 the very smallest number that they have in common would be 12.

You can find the least common multiple of bigger numbers, like say, the least common multiple of 12 and 15. 12 would be 12, 24, 36, 48, 60, 72 etc. While 15 would be 15, 30, 45, and 60. If we are finding the LCM of 12 and 15, the smallest number they have in common is 60. The least common multiple is 60.

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by Mometrix Test Preparation | Last Updated: May 15, 2019