Find Least Common Multiple of 864 and 12 by listing out the factors.

LCM( 864, 12 ) = 864

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

The multipliers of 864 are: 864, 1728, . . .

The multipliers of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, . . .

We can see that:

LCM( 864, 12 ) = 864

This solution can be visualized using a Venn diagram.

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