LCM for 32, 48 and 64

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

What's the Least Common Multiple (LCM) of 32, 48 and 64?

Answer

LCM of 32, 48 and 64 is
192

First common multiples: 192, 384, 576, …

192 is divisible by all three: 192 ÷ 32 = 6, 192 ÷ 48 = 4, 192 ÷ 64 = 3 — and 6, 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/32 by 6 and of y/48 by 4 and of z/64 by 3.

32 = 25

48 = 24 × 3

64 = 26

Prime324864Highest power
225242626
3—3—3

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

LCM = 26 × 3 = 192

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
3248494,704
3248502,400
3248511,632
3248521,248
3248535,088
324854864
3248555,280
324856672
3248571,824
3248582,784
3248595,664
324860480
3248615,856
3248622,976
3248632,016
324864192
3248656,240
3248661,056
3248676,432
3248681,632
3248692,208
3248703,360
3248716,816
324872288
3248737,008
3248743,552
3248752,400
3248761,824
3248777,392
3248781,248

FAQ

What's the Least Common Multiple (LCM) of 32, 48 and 64?

LCM of 32, 48 and 64 is 192

How to find the LCM of 32, 48 and 64 by prime factorization?

Take every prime that appears in 32, 48 and 64 to the highest power it reaches in any one of them and multiply: 2⁶ × 3 = 192.

Can you get the LCM of 32, 48 and 64 two numbers at a time?

Yes. The LCM of 32 and 48 is 96, and the LCM of 96 and 64 is 192 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 192 divisible by 32, 48 and 64?

Yes, and by definition it is the smallest positive integer that is: 192 ÷ 32, 192 ÷ 48 and 192 ÷ 64 all come out whole. Any other common multiple of 32, 48 and 64 is a multiple of 192.

See Also