LCM for 4, 6 and 24

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

What's the Least Common Multiple (LCM) of 4, 6 and 24?

Answer

LCM of 4, 6 and 24 is
24

First common multiples: 24, 48, 72, …

24 is divisible by all three: 24 ÷ 4 = 6, 24 ÷ 6 = 4, 24 ÷ 24 = 1 — and 6, 4 and 1 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 6 and of y/6 by 4.

4 = 22

6 = 2 × 3

24 = 23 × 3

Prime4624Highest power
22222323
3—333

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

LCM = 23 × 3 = 24

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
46936
461060
4611132
461212
4613156
461484
461560
461648
4617204
461836
4619228
462060
462184
4622132
4623276
462424
4625300
4626156
4627108
462884
4629348
463060
4631372
463296
4633132
4634204
4635420
463636
4637444
4638228

FAQ

What's the Least Common Multiple (LCM) of 4, 6 and 24?

LCM of 4, 6 and 24 is 24

How to find the LCM of 4, 6 and 24 by prime factorization?

Take every prime that appears in 4, 6 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 = 24.

Can you get the LCM of 4, 6 and 24 two numbers at a time?

Yes. The LCM of 4 and 6 is 12, and the LCM of 12 and 24 is 24 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 24 divisible by 4, 6 and 24?

Yes, and by definition it is the smallest positive integer that is: 24 ÷ 4, 24 ÷ 6 and 24 ÷ 24 all come out whole. Any other common multiple of 4, 6 and 24 is a multiple of 24.

See Also