Any multiple of 720
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The LCM is: 5,040.
The series 12*1;12*2;12*3;12*4...(the multiples of 12) begins with 12;24;36;48. The series 48*1;48*2;48*3;48*4...(the multiples of 48) begins with 48, which we notice is also in the first series. Therefore, 48 is a common multiple of 12 and 48. Since 48 is the least number in the series, if 48 is a common multiple of 12 and 48, then it must be the least common multiple of 12 and 48. Since 48 is a common multiple of 12 and 48, 48 is the least common multiple of 12 and 48.
45 is a multiple of both 15 and itself, so 45 is the least common multiple of 15 and 45.
The least common multiple of 48 and 77 is 3,696
"most common multiple" is not a recognised mathematical term. 48 is a common multiple, but it is not the Least Common Multiple (LCM).