LCM for 48, 64 and 88

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 48, 64 and 88?

Answer

LCM of 48, 64 and 88 is
2,112

First common multiples: 2,112; 4,224; 6,336; …

2,112 is divisible by all three: 2,112 ÷ 48 = 44; 2,112 ÷ 64 = 33; 2,112 ÷ 88 = 24 — and 44, 33 and 24 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/48 by 44 and of y/64 by 33 and of z/88 by 24.

48 = 24 × 3

64 = 26

88 = 23 × 11

Prime486488Highest power
224262326
33——3
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 × 3 × 11 = 2,112

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
48647314,016
4864747,104
4864754,800
4864763,648
48647714,784
4864782,496
48647915,168
486480960
4864815,184
4864827,872
48648315,936
4864841,344
48648516,320
4864868,256
4864875,568
4864882,112
48648917,088
4864902,880
48649117,472
4864924,416
4864935,952
4864949,024
48649518,240
486496192
48649718,624
4864989,408
4864996,336
48641004,800
486410119,392
48641023,264

FAQ

What's the Least Common Multiple (LCM) of 48, 64 and 88?

LCM of 48, 64 and 88 is 2,112

How to find the LCM of 48, 64 and 88 by prime factorization?

Take every prime that appears in 48, 64 and 88 to the highest power it reaches in any one of them and multiply: 2⁶ × 3 × 11 = 2,112.

Can you get the LCM of 48, 64 and 88 two numbers at a time?

Yes. The LCM of 48 and 64 is 192, and the LCM of 192 and 88 is 2,112 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 2,112 divisible by 48, 64 and 88?

Yes, and by definition it is the smallest positive integer that is: 2,112 ÷ 48, 2,112 ÷ 64 and 2,112 ÷ 88 all come out whole. Any other common multiple of 48, 64 and 88 is a multiple of 2,112.

See Also