LCM for 4, 5 and 20

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What's the Least Common Multiple (LCM) of 4, 5 and 20?

Answer

LCM of 4, 5 and 20 is
20

First common multiples: 20, 40, 60, …

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

4 = 22

5 — prime

20 = 22 × 5

Prime4520Highest power
222—2222
5—555

— = 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
45520
45660
457140
45840
459180
451020
4511220
451260
4513260
4514140
451560
451680
4517340
4518180
4519380
452020
4521420
4522220
4523460
4524120
4525100
4526260
4527540
4528140
4529580
453060
4531620
4532160
4533660
4534340

FAQ

What's the Least Common Multiple (LCM) of 4, 5 and 20?

LCM of 4, 5 and 20 is 20

How to find the LCM of 4, 5 and 20 by prime factorization?

Take every prime that appears in 4, 5 and 20 to the highest power it reaches in any one of them and multiply: 2² × 5 = 20.

Can you get the LCM of 4, 5 and 20 two numbers at a time?

Yes. The LCM of 4 and 5 is 20, and the LCM of 20 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 4, 5 and 20?

Yes, and by definition it is the smallest positive integer that is: 20 ÷ 4, 20 ÷ 5 and 20 ÷ 20 all come out whole. Any other common multiple of 4, 5 and 20 is a multiple of 20.

See Also