Find Least Common Multiple of 1152 and 24 by listing out the factors.

LCM( 1152, 24 ) = 1152

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

The multipliers of 1152 are: 1152, 2304, . . .

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, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128, 1152, 1176, . . .

We can see that:

LCM( 1152, 24 ) = 1152

This solution can be visualized using a Venn diagram.

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