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The greatest common factor, or GCF, is the largest number that will divide into all the members of a given set of numbers evenly. The least common multiple, or LCM, is the smallest number that all the members of a given set will divide into evenly. Example: 30 and 42 The GCF is 6. The LCM is 210.
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Probably the most common use is in adding fractions with different denominators. The least common multiple of the denominators is the least common denominator. Each fraction can be converted to one with the common denominator, and then you can add the fractions by adding their numerators.
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.
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.