LCM for 4, 8 and 24

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What's the Least Common Multiple (LCM) of 4, 8 and 24?

Answer

LCM of 4, 8 and 24 is
24

First common multiples: 24, 48, 72, …

24 is divisible by all three: 24 ÷ 4 = 6, 24 ÷ 8 = 3, 24 ÷ 24 = 1 — and 6, 3 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/8 by 3.

4 = 22

8 = 23

24 = 23 × 3

Prime4824Highest power
222232323
3——33

— = 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

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See Also

LCM Table

1st2nd3rdLCM
48972
481040
481188
481224
4813104
481456
4815120
481616
4817136
481872
4819152
482040
4821168
482288
4823184
482424
4825200
4826104
4827216
482856
4829232
4830120
4831248
483232
4833264
4834136
4835280
483672
4837296
4838152

FAQ

What's the Least Common Multiple (LCM) of 4, 8 and 24?

LCM of 4, 8 and 24 is 24

How to find the LCM of 4, 8 and 24 by prime factorization?

Take every prime that appears in 4, 8 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, 8 and 24 two numbers at a time?

Yes. The LCM of 4 and 8 is 8, and the LCM of 8 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, 8 and 24?

Yes, and by definition it is the smallest positive integer that is: 24 ÷ 4, 24 ÷ 8 and 24 ÷ 24 all come out whole. Any other common multiple of 4, 8 and 24 is a multiple of 24.

See Also