LCM for 8, 11 and 36

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What's the Least Common Multiple (LCM) of 8, 11 and 36?

Answer

LCM of 8, 11 and 36 is
792

First common multiples: 792; 1,584; 2,376; …

792 is divisible by all three: 792 ÷ 8 = 99, 792 ÷ 11 = 72, 792 ÷ 36 = 22 — and 99, 72 and 22 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/8 by 99 and of y/11 by 72 and of z/36 by 22.

8 = 23

11 — prime

36 = 22 × 32

Prime81136Highest power
223—2223
3——3232
11—11—11

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

LCM = 23 × 32 × 11 = 792

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LCM Table

1st2nd3rdLCM
811211,848
8112288
811232,024
81124264
811252,200
811261,144
811272,376
81128616
811292,552
811301,320
811312,728
81132352
81133264
811341,496
811353,080
81136792
811373,256
811381,672
811393,432
81140440
811413,608
811421,848
811433,784
8114488
811453,960
811462,024
811474,136
81148528
811494,312
811502,200

FAQ

What's the Least Common Multiple (LCM) of 8, 11 and 36?

LCM of 8, 11 and 36 is 792

How to find the LCM of 8, 11 and 36 by prime factorization?

Take every prime that appears in 8, 11 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 11 = 792.

Can you get the LCM of 8, 11 and 36 two numbers at a time?

Yes. The LCM of 8 and 11 is 88, and the LCM of 88 and 36 is 792 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 792 divisible by 8, 11 and 36?

Yes, and by definition it is the smallest positive integer that is: 792 ÷ 8, 792 ÷ 11 and 792 ÷ 36 all come out whole. Any other common multiple of 8, 11 and 36 is a multiple of 792.

See Also