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 greatest common factor of 45 and 60 is 15.The least common multiple of 45 and 60 is 180.
The GCF is 15.
It is 180
The greatest common multiple of any set of integers is infinite.
15