LCM for 4, 7 and 11

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What's the Least Common Multiple (LCM) of 4, 7 and 11?

Answer

LCM of 4, 7 and 11 is
308

First common multiples: 308, 616, 924, …

308 is divisible by all three: 308 ÷ 4 = 77, 308 ÷ 7 = 44, 308 ÷ 11 = 28 — and 77, 44 and 28 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 77 and of y/7 by 44 and of z/11 by 28.

4 = 22

7 — prime

11 — prime

Prime4711Highest power
222——22
7—7—7
11——1111

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

LCM = 22 × 7 × 11 = 308

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LCM Table

1st2nd3rdLCM
14728
24728
34784
44728
457140
46784
47728
47856
479252
4710140
4711308
471284
4713364
471428
4715420
4716112
4717476
4718252
4719532
4720140
472184
4722308
4723644
4724168
4725700
4726364
4727756
472828
4729812
4730420

FAQ

What's the Least Common Multiple (LCM) of 4, 7 and 11?

LCM of 4, 7 and 11 is 308

How to find the LCM of 4, 7 and 11 by prime factorization?

Take every prime that appears in 4, 7 and 11 to the highest power it reaches in any one of them and multiply: 2² × 7 × 11 = 308.

Can you get the LCM of 4, 7 and 11 two numbers at a time?

Yes. The LCM of 4 and 7 is 28, and the LCM of 28 and 11 is 308 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 308 divisible by 4, 7 and 11?

Yes, and by definition it is the smallest positive integer that is: 308 ÷ 4, 308 ÷ 7 and 308 ÷ 11 all come out whole. Any other common multiple of 4, 7 and 11 is a multiple of 308.

See Also