There is no "most common multiple". To find all common multiples, you start by finding the least common multiple. All other common multiples are multiples of this least common multiple.
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A common multiple is a multiple that two or more given numbers have in common. 16 is not a common multiple of 7 and 8. 16 is a common multiple of 4 and 8. So, it depends on the numbers for which you are trying to find a common multiple.
You need at least two numbers to find a common multiple.
The Least Common Multiple (LCM) is 15.
The least common multiple of 36 and 30 is 180.
The least common multiple of 4 and 14 is 28.