What is the LCM of 60 and 150?

What's the Least Common Multiple (LCM) of 60 and 150?

Answer

LCM of 60 and 150 is

300

First common multiples: 300, 600, 900, …

300 is divisible by both: 300 ÷ 60 = 5, 300 ÷ 150 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 5 and of y/150 by 2.

60 = 2² × 3 × 5

150 = 2 × 3 × 5²

Prime	60	150	Highest power
2	2²	2	2²
3	3	3	3
5	5	5²	5²

LCM = 2² × 3 × 5² = 300

More with these numbers

Related Calculations

Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Multiples of a Number - List the first 10 multiples of any number from 1 to 999

Share This Calculation

Print

https://calculat.io/en/number/least-common-multiple-lcm-of/60--150

<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--150">What is the LCM of 60 and 150? - Calculatio</a>

Facebook

Twitter

Viber

Email

What is the LCM of 60 and 150? The LCM of 60 and 150 is 300 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/60--150/generated.jpg

LCM Table

Number 1	Number 2	LCM
60	60	60
60	66	660
60	70	420
60	72	360
60	75	300
60	80	240
60	90	180
60	100	300
60	108	540
60	110	660
60	125	1,500
60	132	660
60	135	540
60	140	420
60	150	300
60	155	1,860
60	160	480
60	175	2,100
60	185	2,220
60	190	1,140
60	215	2,580
60	220	660
60	235	2,820
60	240	240
60	245	2,940
60	250	1,500
60	260	780
60	275	3,300
60	280	840
60	290	1,740

LCM for 60 and 150

What's the Least Common Multiple (LCM) of 60 and 150?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 60 and 150?

How to find the LCM of 60 and 150 using prime factorization?

What is the difference between LCM and GCF?

See Also