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LCM for 30 and 480

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 480?

Answer

LCM of 30 and 480 is 480

(Four hundred eighty)

Finding LCM for 30 and 480 using GCF of these numbers

The first method to find LCM for numbers 30 and 480 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 480 is 30, so

LCM = (30 × 480) ÷ 30

LCM = 14400 ÷ 30

LCM = 480

Finding LCM for 30 and 480 by Listing Multiples

The second method to find LCM for numbers 30 and 480 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540

Multiples of 480: 480, 960, 1440

So the LCM for 30 and 480 is 480

Finding LCM for 30 and 480 by Prime Factorization

Another method to find LCM for numbers 30 and 480 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

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

25 × 31 × 51 = 480

See Also

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What is the LCM of 30 and 480?. Find the LCM of 30 and 480 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
15480480
16480480
174808160
184801440
194809120
20480480
214803360
224805280
2348011040
24480480
254802400
264806240
274804320
284803360
2948013920
30480480
3148014880
32480480
334805280
344808160
354803360
364801440
3748017760
384809120
394806240
40480480
4148019680
424803360
4348020640
444805280

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 30 and 480? (The answer is: 480). Select the first number (e.g. '30') 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 30 and 480?

LCM of 30 and 480 is 480

How to find the LCM of 30 and 480 using prime factorization?

To find the LCM of 30 and 480, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 480.

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 30 and 480: LCM = 480, GCF = 30.

See Also