Find Least Common Multiple of 45, 60 and 150 by listing out the factors.

LCM( 45, 60, 150 ) = 900

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

The multipliers of 45 are: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, . . .

The multipliers of 60 are: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, . . .

The multipliers of 150 are: 150, 300, 450, 600, 750, 900, 1050, . . .

We can see that:

LCM( 45, 60, 150 ) = 900

This solution can be visualized using a Venn diagram.

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