What is the LCM of 10, 15 and 50?

What's the Least Common Multiple (LCM) of 10, 15 and 50?

Answer

LCM of 10, 15 and 50 is

150

First common multiples: 150, 300, 450, …

150 is divisible by all three: 150 ÷ 10 = 15, 150 ÷ 15 = 10, 150 ÷ 50 = 3 — and 15, 10 and 3 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 15 and of y/15 by 10 and of z/50 by 3.

10 = 2 × 5

15 = 3 × 5

50 = 2 × 5²

Prime	10	15	50	Highest power
2	2	—	2	2
3	—	3	—	3
5	5	5	5²	5²

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

LCM = 2 × 3 × 5² = 150

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	15	35	210
10	15	36	180
10	15	37	1,110
10	15	38	570
10	15	39	390
10	15	40	120
10	15	41	1,230
10	15	42	210
10	15	43	1,290
10	15	44	660
10	15	45	90
10	15	46	690
10	15	47	1,410
10	15	48	240
10	15	49	1,470
10	15	50	150
10	15	51	510
10	15	52	780
10	15	53	1,590
10	15	54	270
10	15	55	330
10	15	56	840
10	15	57	570
10	15	58	870
10	15	59	1,770
10	15	60	60
10	15	61	1,830
10	15	62	930
10	15	63	630
10	15	64	960

LCM for 10, 15 and 50

What's the Least Common Multiple (LCM) of 10, 15 and 50?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 15 and 50?

How to find the LCM of 10, 15 and 50 by prime factorization?

Can you get the LCM of 10, 15 and 50 two numbers at a time?

Is 150 divisible by 10, 15 and 50?

See Also