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The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.

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7y ago
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11y ago

If you have a set of numbers:

The least common denominator is the smallest number that all of the numbers will evenly divide into.

The greatest common factor is the largest number that will evenly divide into all of the numbers.

So for example, if the numbers are: 12, 18, and 30:

The least common denominator is 180.

And the greatest common factor is 6.

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Q: What is the difference between finding the Least common denominator and finding the greatest common factor?
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