Find Least Common Multiple of 8, 12 and 15 by listing out the factors.

LCM( 8, 12, 15 ) = 120

Write down multiples of each number until you find the first common multiple:

The multipliers of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, . . .

The multipliers of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, . . .

The multipliers of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, . . .

We can see that:

LCM( 8, 12, 15 ) = 120

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.