LCM for 10 and 280

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 280?

Answer

LCM of 10 and 280 is 280

(Two hundred eighty)

Finding LCM for 10 and 280 using GCF of these numbers

The first method to find LCM for numbers 10 and 280 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 280 is 10, so

LCM = (10 × 280) ÷ 10

LCM = 2800 ÷ 10

LCM = 280

Finding LCM for 10 and 280 by Listing Multiples

The second method to find LCM for numbers 10 and 280 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

Multiples of 280: 280, 560, 840

So the LCM for 10 and 280 is 280

Finding LCM for 10 and 280 by Prime Factorization

Another method to find LCM for numbers 10 and 280 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 280: 2, 2, 2, 5, 7 (exponent form: 23, 51, 71)

23 × 51 × 71 = 280

Related Calculations

See Also

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 280? (The answer is: 280). Select the first number (e.g. '10') and the second number (e.g. '280'). 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
1280280
2280280
3280840
4280280
5280280
6280840
7280280
8280280
92802520
10280280
112803080
12280840
132803640
14280280
15280840
16280560
172804760
182802520
192805320
20280280
21280840
222803080
232806440
24280840
252801400
262803640
272807560
28280280
292808120
30280840

FAQ

What's the Least Common Multiple (LCM) of 10 and 280?

LCM of 10 and 280 is 280

How to find the LCM of 10 and 280 using prime factorization?

To find the LCM of 10 and 280, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 280.

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 280: LCM = 280, GCF = 10.

See Also