LCM for 8, 64 and 88

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What's the Least Common Multiple (LCM) of 8, 64 and 88?

Answer

LCM of 8, 64 and 88 is
704

First common multiples: 704; 1,408; 2,112; …

704 is divisible by all three: 704 ÷ 8 = 88, 704 ÷ 64 = 11, 704 ÷ 88 = 8 — and 88, 11 and 8 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 88 and of y/64 by 11 and of z/88 by 8.

8 = 23

64 = 26

88 = 23 × 11

Prime86488Highest power
223262326
11——1111

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

LCM = 26 × 11 = 704

See Also

LCM Table

1st2nd3rdLCM
864734,672
864742,368
864754,800
864761,216
864774,928
864782,496
864795,056
86480320
864815,184
864822,624
864835,312
864841,344
864855,440
864862,752
864875,568
86488704
864895,696
864902,880
864915,824
864921,472
864935,952
864943,008
864956,080
86496192
864976,208
864983,136
864996,336
8641001,600
8641016,464
8641023,264

FAQ

What's the Least Common Multiple (LCM) of 8, 64 and 88?

LCM of 8, 64 and 88 is 704

How to find the LCM of 8, 64 and 88 by prime factorization?

Take every prime that appears in 8, 64 and 88 to the highest power it reaches in any one of them and multiply: 2⁶ × 11 = 704.

Can you get the LCM of 8, 64 and 88 two numbers at a time?

Yes. The LCM of 8 and 64 is 64, and the LCM of 64 and 88 is 704 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 704 divisible by 8, 64 and 88?

Yes, and by definition it is the smallest positive integer that is: 704 ÷ 8, 704 ÷ 64 and 704 ÷ 88 all come out whole. Any other common multiple of 8, 64 and 88 is a multiple of 704.