What is the LCM of 10, 16 and 20?

What's the Least Common Multiple (LCM) of 10, 16 and 20?

Answer

LCM of 10, 16 and 20 is

80

First common multiples: 80, 160, 240, …

80 is divisible by all three: 80 ÷ 10 = 8, 80 ÷ 16 = 5, 80 ÷ 20 = 4 — and 8, 5 and 4 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/10 by 8 and of y/16 by 5 and of z/20 by 4.

10 = 2 × 5

16 = 2⁴

20 = 2² × 5

Prime	10	16	20	Highest power
2	2	2⁴	2²	2⁴
5	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 = 2⁴ × 5 = 80

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
5	10	16	80
6	10	16	240
7	10	16	560
8	10	16	80
9	10	16	720
10	10	16	80
10	11	16	880
10	12	16	240
10	13	16	1,040
10	14	16	560
10	15	16	240
10	16	16	80
10	16	17	1,360
10	16	18	720
10	16	19	1,520
10	16	20	80
10	16	21	1,680
10	16	22	880
10	16	23	1,840
10	16	24	240
10	16	25	400
10	16	26	1,040
10	16	27	2,160
10	16	28	560
10	16	29	2,320
10	16	30	240
10	16	31	2,480
10	16	32	160
10	16	33	2,640
10	16	34	1,360

LCM for 10, 16 and 20

What's the Least Common Multiple (LCM) of 10, 16 and 20?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 16 and 20?

How to find the LCM of 10, 16 and 20 by prime factorization?

Can you get the LCM of 10, 16 and 20 two numbers at a time?

Is 80 divisible by 10, 16 and 20?

See Also