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LCM for 10 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 360?

Answer

LCM of 10 and 360 is 360

(Three hundred sixty)

Finding LCM for 10 and 360 using GCF of these numbers

The first method to find LCM for numbers 10 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 360 is 10, so

LCM = (10 × 360) ÷ 10

LCM = 3600 ÷ 10

LCM = 360

Finding LCM for 10 and 360 by Listing Multiples

The second method to find LCM for numbers 10 and 360 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380

Multiples of 360: 360, 720, 1080

So the LCM for 10 and 360 is 360

Finding LCM for 10 and 360 by Prime Factorization

Another method to find LCM for numbers 10 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 51 × 32 = 360

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What is the LCM of 10 and 360?. Find the LCM of 10 and 360 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1360360
2360360
3360360
4360360
5360360
6360360
73602520
8360360
9360360
10360360
113603960
12360360
133604680
143602520
15360360
16360720
173606120
18360360
193606840
20360360
213602520
223603960
233608280
24360360
253601800
263604680
273601080
283602520
2936010440
30360360

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 10 and 360? (The answer is: 360). Select the first number (e.g. '10') 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 10 and 360?

LCM of 10 and 360 is 360

How to find the LCM of 10 and 360 using prime factorization?

To find the LCM of 10 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 10 and 360: LCM = 360, GCF = 10.

See Also