LCM for 6, 8 and 24

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 6, 8 and 24?

Answer

LCM of 6, 8 and 24 is

First common multiples: 24, 48, 72, …

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

6 = 2 × 3

8 = 2³

24 = 2³ × 3

Prime	6	8	24	Highest power
2	2	2³	2³	2³
3	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 = 2³ × 3 = 24

More with these numbers

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LCM Table

1st	2nd	3rd	LCM
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96
6	8	33	264
6	8	34	408
6	8	35	840
6	8	36	72
6	8	37	888
6	8	38	456

FAQ

What's the Least Common Multiple (LCM) of 6, 8 and 24?

LCM of 6, 8 and 24 is 24

How to find the LCM of 6, 8 and 24 by prime factorization?

Take every prime that appears in 6, 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 6, 8 and 24 two numbers at a time?

Yes. The LCM of 6 and 8 is 24, and the LCM of 24 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 6, 8 and 24?

Yes, and by definition it is the smallest positive integer that is: 24 ÷ 6, 24 ÷ 8 and 24 ÷ 24 all come out whole. Any other common multiple of 6, 8 and 24 is a multiple of 24.

LCM for 6, 8 and 24

What's the Least Common Multiple (LCM) of 6, 8 and 24?

More with these numbers

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See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 8 and 24?

How to find the LCM of 6, 8 and 24 by prime factorization?

Can you get the LCM of 6, 8 and 24 two numbers at a time?

Is 24 divisible by 6, 8 and 24?

See Also

1st	2nd	3rd	LCM
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96
6	8	33	264
6	8	34	408
6	8	35	840
6	8	36	72
6	8	37	888
6	8	38	456

1st	2nd	3rd	LCM
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96
6	8	33	264
6	8	34	408
6	8	35	840
6	8	36	72
6	8	37	888
6	8	38	456

1st	2nd	3rd	LCM
6	8	9	72
6	8	10	120
6	8	11	264
6	8	12	24
6	8	13	312
6	8	14	168
6	8	15	120
6	8	16	48
6	8	17	408
6	8	18	72
6	8	19	456
6	8	20	120
6	8	21	168
6	8	22	264
6	8	23	552
6	8	24	24
6	8	25	600
6	8	26	312
6	8	27	216
6	8	28	168
6	8	29	696
6	8	30	120
6	8	31	744
6	8	32	96
6	8	33	264
6	8	34	408
6	8	35	840
6	8	36	72
6	8	37	888
6	8	38	456