LCM for 120 and 480

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 480?

Answer: LCM of 120 and 480 is 480

(Four hundred eighty)

Finding LCM for 120 and 480 using GCF's of these numbers

The first method to find LCM for numbers 120 and 480 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 480 is 120, so

LCM = (120 × 480) ÷ 120

LCM = 57600 ÷ 120

LCM = 480

Finding LCM for 120 and 480 by Listing Multiples

The second method to find LCM for numbers 120 and 480 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480, 600, 720

Multiples of 480: 480, 960, 1440, 1920, 2400, 2880, [...], 480

So the LCM for 120 and 480 is 480

Finding LCM for 120 and 480 by Prime Factorization

Another method to find LCM for numbers 120 and 480 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

25 × 31 × 51 = 480

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LCM Table

Number 1Number 2LCM
1054803360
10648025440
10748051360
1084804320
10948052320
1104805280
11148017760
1124803360
11348054240
1144809120
11548011040
11648013920
11748018720
11848028320
11948057120
120480480
12148058080
12248029280
12348019680
12448014880
12548012000
12648010080
12748060960
1284801920
12948020640
1304806240
13148062880
1324805280
13348063840
13448032160

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 120 and 480? (The answer is: 480). Select the first number (e.g. '120') and the second number (e.g. '480'). 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 120 and 480?

LCM of 120 and 480 is 480

See Also