Factor each one into their primary factors 5 & 2 & 2, 2 & 3 & 5, and finally 2 & 5 & 5.
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Find the least common multiple of 20, 30, and 50.
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Another way to solve this problem is to list each of the multiples:
20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360
50, 100, 150, 200, 250, 300, 350
What is the smallest number that's the same on all three lists?
20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360
50, 100, 150, 200, 250, 300, 350
What is the smallest number that's the same on all three lists?