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What is a common multiple?

What is a common multiple? Here are some definitions.

Noun
  1. (mathematics) A number which may be divided by any of a given set of numbers without a remainder.
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Examples
Group education combined with feedback was the most common multiple strategy.
There are two ways of finding the lowest common multiple of two numbers.
Finding the least common multiple is an important skill for further dealings with fractions.
The order of a permutation is the least common multiple of the lengths in the decomposition into disjoint cycles.
Last night I had a dream in which I proved the non-existence of God by the least common multiple.
The least common denominator for two fractions is the least common multiple of their denominators.

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