What is the LCM of 10, 20 and 50?

What's the Least Common Multiple (LCM) of 10, 20 and 50?

Answer

LCM of 10, 20 and 50 is

100

First common multiples: 100, 200, 300, …

100 is divisible by all three: 100 ÷ 10 = 10, 100 ÷ 20 = 5, 100 ÷ 50 = 2 — and 10, 5 and 2 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 10 and of y/20 by 5 and of z/50 by 2.

10 = 2 × 5

20 = 2² × 5

50 = 2 × 5²

Prime	10	20	50	Highest power
2	2	2²	2	2²
5	5	5	5²	5²

LCM = 2² × 5² = 100

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	20	35	140
10	20	36	180
10	20	37	740
10	20	38	380
10	20	39	780
10	20	40	40
10	20	41	820
10	20	42	420
10	20	43	860
10	20	44	220
10	20	45	180
10	20	46	460
10	20	47	940
10	20	48	240
10	20	49	980
10	20	50	100
10	20	51	1,020
10	20	52	260
10	20	53	1,060
10	20	54	540
10	20	55	220
10	20	56	280
10	20	57	1,140
10	20	58	580
10	20	59	1,180
10	20	60	60
10	20	61	1,220
10	20	62	620
10	20	63	1,260
10	20	64	320

LCM for 10, 20 and 50

What's the Least Common Multiple (LCM) of 10, 20 and 50?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 20 and 50?

How to find the LCM of 10, 20 and 50 by prime factorization?

Can you get the LCM of 10, 20 and 50 two numbers at a time?

Is 100 divisible by 10, 20 and 50?

See Also