LCM for 480 and 720

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 480 and 720?

Answer

LCM of 480 and 720 is 1,440

(One thousand, four hundred forty)

Finding LCM for 480 and 720 using GCF of these numbers

The first method to find LCM for numbers 480 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 480 and 720 is 240, so

LCM = (480 × 720) ÷ 240

LCM = 345600 ÷ 240

LCM = 1440

Finding LCM for 480 and 720 by Listing Multiples

The second method to find LCM for numbers 480 and 720 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 480: 480, 960, 1440, 1920, 2400

Multiples of 720: 720, 1440, 2160, 2880

So the LCM for 480 and 720 is 1440

Finding LCM for 480 and 720 by Prime Factorization

Another method to find LCM for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5 (exponent form: 25, 31, 51)

All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)

25 × 32 × 51 = 1440

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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 480 and 720? (The answer is: 1440). Select the first number (e.g. '480') and the second number (e.g. '720'). 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
48070522560
480706169440
480707339360
48070828320
480709340320
48071034080
480711113760
48071242720
480713342240
48071457120
48071568640
48071685920
480717114720
480718172320
480719345120
4807201440
480721346080
480722173280
480723115680
48072486880
48072569600
48072658080
480727348960
48072843680
480729116640
48073035040
480731350880
48073229280
480733351840
480734176160

FAQ

What's the Least Common Multiple (LCM) of 480 and 720?

LCM of 480 and 720 is 1,440

How to find the LCM of 480 and 720 using prime factorization?

To find the LCM of 480 and 720, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,440.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 480 and 720: LCM = 1,440, GCF = 240.

See Also