Find Least Common Multiple of 15, 24 and 32 by listing out the factors.

LCM( 15, 24, 32 ) = 480

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

The multipliers of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, . . .

The multipliers of 24 are: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, . . .

The multipliers of 32 are: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, . . .

We can see that:

LCM( 15, 24, 32 ) = 480

This solution can be visualized using a Venn diagram.

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