LCM for 4, 27 and 36

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What's the Least Common Multiple (LCM) of 4, 27 and 36?

Answer

LCM of 4, 27 and 36 is
108

First common multiples: 108, 216, 324, …

108 is divisible by all three: 108 ÷ 4 = 27, 108 ÷ 27 = 4, 108 ÷ 36 = 3 — and 27, 4 and 3 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 27 and of y/27 by 4 and of z/36 by 3.

4 = 22

27 = 33

36 = 22 × 32

Prime42736Highest power
222—2222
3—333233

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

LCM = 22 × 33 = 108

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LCM Table

1st2nd3rdLCM
42127756
422271,188
423272,484
42427216
425272,700
426271,404
42727108
42728756
427293,132
42730540
427313,348
42732864
427331,188
427341,836
427353,780
42736108
427373,996
427382,052
427391,404
427401,080
427414,428
42742756
427434,644
427441,188
42745540
427462,484
427475,076
42748432
427495,292
427502,700

FAQ

What's the Least Common Multiple (LCM) of 4, 27 and 36?

LCM of 4, 27 and 36 is 108

How to find the LCM of 4, 27 and 36 by prime factorization?

Take every prime that appears in 4, 27 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3³ = 108.

Can you get the LCM of 4, 27 and 36 two numbers at a time?

Yes. The LCM of 4 and 27 is 108, and the LCM of 108 and 36 is 108 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 108 divisible by 4, 27 and 36?

Yes, and by definition it is the smallest positive integer that is: 108 ÷ 4, 108 ÷ 27 and 108 ÷ 36 all come out whole. Any other common multiple of 4, 27 and 36 is a multiple of 108.

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