Find Least Common Multiple of 24, 45 and 72 by listing out the factors.

LCM( 24, 45, 72 ) = 360

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

The multipliers of 24 are: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, . . .

The multipliers of 45 are: 45, 90, 135, 180, 225, 270, 315, 360, 405, . . .

The multipliers of 72 are: 72, 144, 216, 288, 360, 432, . . .

We can see that:

LCM( 24, 45, 72 ) = 360

This solution can be visualized using a Venn diagram.

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