LCM for 10, 50 and 80

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What's the Least Common Multiple (LCM) of 10, 50 and 80?

Answer

LCM of 10, 50 and 80 is
400

First common multiples: 400; 800; 1,200; …

400 is divisible by all three: 400 ÷ 10 = 40, 400 ÷ 50 = 8, 400 ÷ 80 = 5 — and 40, 8 and 5 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 40 and of y/50 by 8 and of z/80 by 5.

10 = 2 × 5

50 = 2 × 52

80 = 24 × 5

Prime105080Highest power
2222424
5552552

LCM = 24 × 52 = 400

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LCM Table

1st2nd3rdLCM
105065650
1050661,650
1050673,350
1050681,700
1050693,450
105070350
1050713,550
1050721,800
1050733,650
1050741,850
105075150
1050761,900
1050773,850
1050781,950
1050793,950
105080400
1050814,050
1050822,050
1050834,150
1050842,100
105085850
1050862,150
1050874,350
1050882,200
1050894,450
105090450
1050914,550
1050922,300
1050934,650
1050942,350

FAQ

What's the Least Common Multiple (LCM) of 10, 50 and 80?

LCM of 10, 50 and 80 is 400

How to find the LCM of 10, 50 and 80 by prime factorization?

Take every prime that appears in 10, 50 and 80 to the highest power it reaches in any one of them and multiply: 2⁴ × 5² = 400.

Can you get the LCM of 10, 50 and 80 two numbers at a time?

Yes. The LCM of 10 and 50 is 50, and the LCM of 50 and 80 is 400 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 400 divisible by 10, 50 and 80?

Yes, and by definition it is the smallest positive integer that is: 400 ÷ 10, 400 ÷ 50 and 400 ÷ 80 all come out whole. Any other common multiple of 10, 50 and 80 is a multiple of 400.

See Also