Find Least Common Multiple of 45, 25 and 50 by listing out the factors.

LCM( 45, 25, 50 ) = 450

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, . . .

The multipliers of 25 are: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, . . .

The multipliers of 50 are: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, . . .

We can see that:

LCM( 45, 25, 50 ) = 450

This solution can be visualized using a Venn diagram.

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