LCM for 480 and 720

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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 = 345,600 ÷ 240

LCM = 1,440

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, 1,440, 1,920, 2,400

Multiples of 720: 720, 1,440, 2,160, 2,880

So the LCM for 480 and 720 is 1,440

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 = 1,440

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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: 1,440). 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
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LCM Table

Number 1Number 2LCM
48070522,560
480706169,440
480707339,360
48070828,320
480709340,320
48071034,080
480711113,760
48071242,720
480713342,240
48071457,120
48071568,640
48071685,920
480717114,720
480718172,320
480719345,120
4807201,440
480721346,080
480722173,280
480723115,680
48072486,880
48072569,600
48072658,080
480727348,960
48072843,680
480729116,640
48073035,040
480731350,880
48073229,280
480733351,840
480734176,160

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