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 definition of the greatest common multiple of any two numbers is an infinite number.
The greatest common multiple of any two or more numbers cannot be determined because the common multiples of any two or more numbers are infinite.
The greatest common multiple of any set of numbers is infinite and not very practical for problem solving. The lowest common multiple is 72
Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.
No, because the number of common multiples of any two nonzero numbers is infinite.