There is really no such thing as a "greatest common multiple" (and certainly not "greatest common multiply"). 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 LCM of 60, 84 and 108 is 3780.
The greatest common factor of the numbers 84, 108 and 60 is 12.
the GCF of 16, 60, and 84 is 4
It is 1680
The GCF is 6.