LCM for 120 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 360?

Answer: LCM of 120 and 360 is 360

(Three hundred sixty)

Finding LCM for 120 and 360 using GCF's of these numbers

The first method to find LCM for numbers 120 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 360 is 120, so

LCM = (120 × 360) ÷ 120

LCM = 43200 ÷ 120

LCM = 360

Finding LCM for 120 and 360 by Listing Multiples

The second method to find LCM for numbers 120 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 360: 360, 720, 1080, 1440, 1800, [...], 360

So the LCM for 120 and 360 is 360

Finding LCM for 120 and 360 by Prime Factorization

Another method to find LCM for numbers 120 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 51 = 360

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LCM Table

Number 1Number 2LCM
1053602520
10636019080
10736038520
1083601080
10936039240
1103603960
11136013320
1123605040
11336040680
1143606840
1153608280
11636010440
1173604680
11836021240
11936042840
120360360
12136043560
12236021960
12336014760
12436011160
1253609000
1263602520
12736045720
1283605760
12936015480
1303604680
13136047160
1323603960
13336047880
13436024120

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 360? (The answer is: 360). Select the first number (e.g. '120') and the second number (e.g. '360'). 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 360?

LCM of 120 and 360 is 360

See Also