LCM for 120 and 500

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 500?

Answer: LCM of 120 and 500 is 3,000

(Three thousand)

Finding LCM for 120 and 500 using GCF's of these numbers

The first method to find LCM for numbers 120 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 500 is 20, so

LCM = (120 × 500) ÷ 20

LCM = 60000 ÷ 20

LCM = 3000

Finding LCM for 120 and 500 by Listing Multiples

The second method to find LCM for numbers 120 and 500 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, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240

Multiples of 500: 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000

So the LCM for 120 and 500 is 3000

Finding LCM for 120 and 500 by Prime Factorization

Another method to find LCM for numbers 120 and 500 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 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

23 × 31 × 53 = 3000

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LCM Table

Number 1Number 2LCM
10550010500
10650026500
10750053500
10850013500
10950054500
1105005500
11150055500
11250014000
11350056500
11450028500
11550011500
11650014500
11750058500
11850029500
11950059500
1205003000
12150060500
12250030500
12350061500
12450015500
125500500
12650031500
12750063500
12850016000
12950064500
1305006500
13150065500
13250016500
13350066500
13450033500

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 500? (The answer is: 3000). Select the first number (e.g. '120') and the second number (e.g. '500'). 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 500?

LCM of 120 and 500 is 3,000

See Also