This cannot be answered because the common multiples of any two or more numbers are infinite.
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The greatest common multiple of any set of integers is infinite.
The Least Common Multiple (LCM) for 18 32 48 is 288.
16
96 (32*3 = 96; 48*2 = 96)
There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.