What is the LCM of 50 and 120?

What's the Least Common Multiple (LCM) of 50 and 120?

Answer

LCM of 50 and 120 is

600

First common multiples: 600; 1,200; 1,800; …

600 is divisible by both: 600 ÷ 50 = 12, 600 ÷ 120 = 5 — and 12 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 12 and of y/120 by 5.

50 = 2 × 5²

120 = 2³ × 3 × 5

Prime	50	120	Highest power
2	2	2³	2³
3	—	3	3
5	5²	5	5²

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

LCM = 2³ × 3 × 5² = 600

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What is the LCM of 50 and 120? The LCM of 50 and 120 is 600 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/50--120/generated.jpg

LCM Table

Number 1	Number 2	LCM
50	51	2,550
50	55	550
50	56	1,400
50	60	300
50	65	650
50	70	350
50	72	1,800
50	75	150
50	80	400
50	88	2,200
50	90	450
50	100	100
50	105	1,050
50	120	600
50	125	250
50	130	650
50	140	700
50	145	1,450
50	170	850
50	175	350
50	180	900
50	185	1,850
50	200	200
50	205	2,050
50	210	1,050
50	240	1,200
50	245	2,450
50	250	250
50	260	1,300
50	285	2,850

LCM for 50 and 120

What's the Least Common Multiple (LCM) of 50 and 120?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 50 and 120?

How to find the LCM of 50 and 120 using prime factorization?

What is the difference between LCM and GCF?

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