LCM for 10 and 310

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 310?

Answer

LCM of 10 and 310 is 310

(Three hundred ten)

Finding LCM for 10 and 310 using GCF of these numbers

The first method to find LCM for numbers 10 and 310 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 310 is 10, so

LCM = (10 × 310) ÷ 10

LCM = 3100 ÷ 10

LCM = 310

Finding LCM for 10 and 310 by Listing Multiples

The second method to find LCM for numbers 10 and 310 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

Multiples of 310: 310, 620, 930

So the LCM for 10 and 310 is 310

Finding LCM for 10 and 310 by Prime Factorization

Another method to find LCM for numbers 10 and 310 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 310: 2, 5, 31 (exponent form: 21, 51, 311)

21 × 51 × 311 = 310

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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 310? (The answer is: 310). Select the first number (e.g. '10') and the second number (e.g. '310'). 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

LCM Table

Number 1Number 2LCM
1310310
2310310
3310930
4310620
5310310
6310930
73102170
83101240
93102790
10310310
113103410
123101860
133104030
143102170
15310930
163102480
173105270
183102790
193105890
20310620
213106510
223103410
233107130
243103720
253101550
263104030
273108370
283104340
293108990
30310930

FAQ

What's the Least Common Multiple (LCM) of 10 and 310?

LCM of 10 and 310 is 310

How to find the LCM of 10 and 310 using prime factorization?

To find the LCM of 10 and 310, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 310.

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 310: LCM = 310, GCF = 10.

See Also