Find Least Common Multiple of 80, 45 and 60 by listing out the factors.

LCM( 80, 45, 60 ) = 720

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

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

The multipliers of 45 are: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, . . .

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

We can see that:

LCM( 80, 45, 60 ) = 720

This solution can be visualized using a Venn diagram.

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