What is the LCM of 50, 100 and 150?

What's the Least Common Multiple (LCM) of 50, 100 and 150?

Answer

LCM of 50, 100 and 150 is

300

First common multiples: 300, 600, 900, …

300 is divisible by all three: 300 ÷ 50 = 6, 300 ÷ 100 = 3, 300 ÷ 150 = 2 — and 6, 3 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/50 by 6 and of y/100 by 3 and of z/150 by 2.

50 = 2 × 5²

100 = 2² × 5²

150 = 2 × 3 × 5²

Prime	50	100	150	Highest power
2	2	2²	2	2²
3	—	—	3	3
5	5²	5²	5²	5²

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

LCM = 2² × 3 × 5² = 300

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
50	100	135	2,700
50	100	136	3,400
50	100	137	13,700
50	100	138	6,900
50	100	139	13,900
50	100	140	700
50	100	141	14,100
50	100	142	7,100
50	100	143	14,300
50	100	144	3,600
50	100	145	2,900
50	100	146	7,300
50	100	147	14,700
50	100	148	3,700
50	100	149	14,900
50	100	150	300
50	100	151	15,100
50	100	152	3,800
50	100	153	15,300
50	100	154	7,700
50	100	155	3,100
50	100	156	3,900
50	100	157	15,700
50	100	158	7,900
50	100	159	15,900
50	100	160	800
50	100	161	16,100
50	100	162	8,100
50	100	163	16,300
50	100	164	4,100

LCM for 50, 100 and 150

What's the Least Common Multiple (LCM) of 50, 100 and 150?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 50, 100 and 150?

How to find the LCM of 50, 100 and 150 by prime factorization?

Can you get the LCM of 50, 100 and 150 two numbers at a time?

Is 300 divisible by 50, 100 and 150?

See Also