LCM for 240 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 240 and 360?

Answer: LCM of 240 and 360 is 720

(Seven hundred twenty)

Finding LCM for 240 and 360 using GCF's of these numbers

The first method to find LCM for numbers 240 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 240 and 360 is 120, so

LCM = (240 × 360) ÷ 120

LCM = 86400 ÷ 120

LCM = 720

Finding LCM for 240 and 360 by Listing Multiples

The second method to find LCM for numbers 240 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 240: 240, 480, 720, 960, 1200

Multiples of 360: 360, 720, 1080, 1440

So the LCM for 240 and 360 is 720

Finding LCM for 240 and 360 by Prime Factorization

Another method to find LCM for numbers 240 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

24 × 32 × 51 = 720

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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 240 and 360? (The answer is: 720). Select the first number (e.g. '240') and the second number (e.g. '360'). 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

LCM Table

Number 1Number 2LCM
2253601800
22636040680
22736081720
2283606840
22936082440
2303608280
23136027720
23236010440
23336083880
2343604680
23536016920
23636021240
23736028440
23836042840
23936086040
240360720
24136086760
24236043560
2433609720
24436021960
24536017640
24636014760
24736088920
24836011160
24936029880
2503609000
25136090360
2523602520
25336091080
25436045720

FAQ

What's the Least Common Multiple (LCM) of 240 and 360?

LCM of 240 and 360 is 720

See Also