LCM for 120 and 400

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 400?

Answer: LCM of 120 and 400 is 1,200

(One thousand, two hundred)

Finding LCM for 120 and 400 using GCF's of these numbers

The first method to find LCM for numbers 120 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 400 is 40, so

LCM = (120 × 400) ÷ 40

LCM = 48000 ÷ 40

LCM = 1200

Finding LCM for 120 and 400 by Listing Multiples

The second method to find LCM for numbers 120 and 400 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

Multiples of 400: 400, 800, 1200, 1600, 2000

So the LCM for 120 and 400 is 1200

Finding LCM for 120 and 400 by Prime Factorization

Another method to find LCM for numbers 120 and 400 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 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

24 × 31 × 52 = 1200

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LCM Table

Number 1Number 2LCM
1054008400
10640021200
10740042800
10840010800
10940043600
1104004400
11140044400
1124002800
11340045200
11440022800
1154009200
11640011600
11740046800
11840023600
11940047600
1204001200
12140048400
12240024400
12340049200
12440012400
1254002000
12640025200
12740050800
1284003200
12940051600
1304005200
13140052400
13240013200
13340053200
13440026800

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 400? (The answer is: 1200). Select the first number (e.g. '120') and the second number (e.g. '400'). 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 400?

LCM of 120 and 400 is 1,200

See Also