LCM for 60 and 450

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 450?

Answer: LCM of 60 and 450 is 900

(Nine hundred)

Finding LCM for 60 and 450 using GCF's of these numbers

The first method to find LCM for numbers 60 and 450 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 450 is 30, so

LCM = (60 × 450) ÷ 30

LCM = 27000 ÷ 30

LCM = 900

Finding LCM for 60 and 450 by Listing Multiples

The second method to find LCM for numbers 60 and 450 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020

Multiples of 450: 450, 900, 1350, 1800

So the LCM for 60 and 450 is 900

Finding LCM for 60 and 450 by Prime Factorization

Another method to find LCM for numbers 60 and 450 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 450: 2, 3, 3, 5, 5 (exponent form: 21, 32, 52)

22 × 32 × 52 = 900

Related Calculations

See Also

Share This Calculation
https://calculat.io/en/number/least-common-multiple-lcm-of/60--450Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--450">What is the LCM of 60 and 450? - Calculatio</a>Copy
What is the LCM of 60 and 450?. Find the LCM of 450 and 60 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/60--450/generated.jpgCopy

LCM Table

Number 1Number 2LCM
45450450
4645010350
4745021150
484503600
4945022050
50450450
514507650
5245011700
5345023850
544501350
554504950
5645012600
574508550
5845013050
5945026550
60450900
6145027450
6245013950
634503150
6445014400
654505850
664504950
6745030150
6845015300
6945010350
704503150
7145031950
724501800
7345032850
7445016650

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 60 and 450? (The answer is: 900). Select the first number (e.g. '60') and the second number (e.g. '450'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 60 and 450?

LCM of 60 and 450 is 900

See Also