Find Least Common Multiple of 40, 56 and 60 by listing out the factors.

LCM( 40, 56, 60 ) = 840

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

The multipliers of 40 are: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, . . .

The multipliers of 56 are: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, . . .

The multipliers of 60 are: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, . . .

We can see that:

LCM( 40, 56, 60 ) = 840

This solution can be visualized using a Venn diagram.

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