Find Least Common Multiple of 16, 72 and 80 by listing out the factors.

LCM( 16, 72, 80 ) = 720

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

The multipliers of 16 are: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, . . .

The multipliers of 72 are: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, . . .

The multipliers of 80 are: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, . . .

We can see that:

LCM( 16, 72, 80 ) = 720

This solution can be visualized using a Venn diagram.

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