What is the LCM of 20, 40 and 50?

What's the Least Common Multiple (LCM) of 20, 40 and 50?

Answer

LCM of 20, 40 and 50 is

200

First common multiples: 200, 400, 600, …

200 is divisible by all three: 200 ÷ 20 = 10, 200 ÷ 40 = 5, 200 ÷ 50 = 4 — and 10, 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/20 by 10 and of y/40 by 5 and of z/50 by 4.

20 = 2² × 5

40 = 2³ × 5

50 = 2 × 5²

Prime	20	40	50	Highest power
2	2²	2³	2	2³
5	5	5	5²	5²

LCM = 2³ × 5² = 200

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
20	35	40	280
20	36	40	360
20	37	40	1,480
20	38	40	760
20	39	40	1,560
20	40	40	40
20	40	41	1,640
20	40	42	840
20	40	43	1,720
20	40	44	440
20	40	45	360
20	40	46	920
20	40	47	1,880
20	40	48	240
20	40	49	1,960
20	40	50	200
20	40	51	2,040
20	40	52	520
20	40	53	2,120
20	40	54	1,080
20	40	55	440
20	40	56	280
20	40	57	2,280
20	40	58	1,160
20	40	59	2,360
20	40	60	120
20	40	61	2,440
20	40	62	1,240
20	40	63	2,520
20	40	64	320

LCM for 20, 40 and 50

What's the Least Common Multiple (LCM) of 20, 40 and 50?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 20, 40 and 50?

How to find the LCM of 20, 40 and 50 by prime factorization?

Can you get the LCM of 20, 40 and 50 two numbers at a time?

Is 200 divisible by 20, 40 and 50?

See Also