LCM for 60 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 270?

Answer: LCM of 60 and 270 is 540

(Five hundred forty)

Finding LCM for 60 and 270 using GCF's of these numbers

The first method to find LCM for numbers 60 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 270 is 30, so

LCM = (60 × 270) ÷ 30

LCM = 16200 ÷ 30

LCM = 540

Finding LCM for 60 and 270 by Listing Multiples

The second method to find LCM for numbers 60 and 270 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

Multiples of 270: 270, 540, 810, 1080

So the LCM for 60 and 270 is 540

Finding LCM for 60 and 270 by Prime Factorization

Another method to find LCM for numbers 60 and 270 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 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

22 × 33 × 51 = 540

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LCM Table

Number 1Number 2LCM
45270270
462706210
4727012690
482702160
4927013230
502701350
512704590
522707020
5327014310
54270270
552702970
562707560
572705130
582707830
5927015930
60270540
6127016470
622708370
632701890
642708640
652703510
662702970
6727018090
682709180
692706210
702701890
7127019170
722701080
7327019710
742709990

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 270? (The answer is: 540). Select the first number (e.g. '60') and the second number (e.g. '270'). 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 270?

LCM of 60 and 270 is 540

See Also