By noticing that 48 is a multiple of 24. That automatically makes it the LCM.
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Factor them.
2 x 2 x 2 x 3 = 24
2 x 3 x 5 = 30
Combine the factors, eliminating duplicates.
2 x 2 x 2 x 3 x 5 = 120, the LCM
Factor them.
2 x 2 x 2 x 3 = 24
2 x 2 x 2 x 2 x 2 x 2 = 64
Combine the factors, eliminating duplicates.
2 x 2 x 2 x 2 x 2 x 2 x 3 = 192, the LCM
LCM(30, 24, 20) = 120
120
12 and 24 have an LCM of 24. There are many other possibilities.
Least common multiple of 24 and 30 is 120.
LCM(2, 24, 30, 40) = 120.