What is the LCM of 8, 10 and 24?

What's the Least Common Multiple (LCM) of 8, 10 and 24?

Answer

LCM of 8, 10 and 24 is

120

First common multiples: 120, 240, 360, …

120 is divisible by all three: 120 ÷ 8 = 15, 120 ÷ 10 = 12, 120 ÷ 24 = 5 — and 15, 12 and 5 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/8 by 15 and of y/10 by 12 and of z/24 by 5.

8 = 2³

10 = 2 × 5

24 = 2³ × 3

Prime	8	10	24	Highest power
2	2³	2	2³	2³
3	—	—	3	3
5	—	5	—	5

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

LCM = 2³ × 3 × 5 = 120

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
8	9	10	360
8	10	10	40
8	10	11	440
8	10	12	120
8	10	13	520
8	10	14	280
8	10	15	120
8	10	16	80
8	10	17	680
8	10	18	360
8	10	19	760
8	10	20	40
8	10	21	840
8	10	22	440
8	10	23	920
8	10	24	120
8	10	25	200
8	10	26	520
8	10	27	1,080
8	10	28	280
8	10	29	1,160
8	10	30	120
8	10	31	1,240
8	10	32	160
8	10	33	1,320
8	10	34	680
8	10	35	280
8	10	36	360
8	10	37	1,480
8	10	38	760

LCM for 8, 10 and 24

What's the Least Common Multiple (LCM) of 8, 10 and 24?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 8, 10 and 24?

How to find the LCM of 8, 10 and 24 by prime factorization?

Can you get the LCM of 8, 10 and 24 two numbers at a time?

Is 120 divisible by 8, 10 and 24?

See Also