LCM for 5, 10 and 20

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What's the Least Common Multiple (LCM) of 5, 10 and 20?

Answer

LCM of 5, 10 and 20 is
20

First common multiples: 20, 40, 60, …

20 is divisible by all three: 20 ÷ 5 = 4, 20 ÷ 10 = 2, 20 ÷ 20 = 1 — and 4, 2 and 1 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/5 by 4 and of y/10 by 2.

5 — prime

10 = 2 × 5

20 = 22 × 5

Prime51020Highest power
2—22222
55555

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 5 = 20

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LCM Table

1st2nd3rdLCM
551010
561030
571070
581040
591090
5101010
51011110
5101260
51013130
5101470
5101530
5101680
51017170
5101890
51019190
5102020
51021210
51022110
51023230
51024120
5102550
51026130
51027270
51028140
51029290
5103030
51031310
51032160
51033330
51034170

FAQ

What's the Least Common Multiple (LCM) of 5, 10 and 20?

LCM of 5, 10 and 20 is 20

How to find the LCM of 5, 10 and 20 by prime factorization?

Take every prime that appears in 5, 10 and 20 to the highest power it reaches in any one of them and multiply: 2² × 5 = 20.

Can you get the LCM of 5, 10 and 20 two numbers at a time?

Yes. The LCM of 5 and 10 is 10, and the LCM of 10 and 20 is 20 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 20 divisible by 5, 10 and 20?

Yes, and by definition it is the smallest positive integer that is: 20 ÷ 5, 20 ÷ 10 and 20 ÷ 20 all come out whole. Any other common multiple of 5, 10 and 20 is a multiple of 20.

See Also