LCM( 256, 16, 48 ) = 768
Write down multiples of each number until you find the first common multiple:
The multipliers of 256 are: 256, 512, 768, 1024, . . .
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, 752, 768, 784, . . .
The multipliers of 48 are: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, . . .
We can see that:
LCM( 256, 16, 48 ) = 768
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.