There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
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The least common multiple of 34 and 68 is 68.
The Greatest Common Factor (GCF) of 8 and 68 is: 4
68
The greatest common factor of 68 and 480 is 4.
The Greatest Common Factor (GCF) is: 4