Find Least Common Multiple of 40, 90 and 150 by listing out the factors.
Answer
LCM( 40, 90, 150 ) = 1800
Explanation
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, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, . . .
The multipliers of 90 are: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, . . .
The multipliers of 150 are: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350, 1500, 1650, 1800, 1950, . . .
We can see that:
LCM( 40, 90, 150 ) = 1800
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.