LCM for 10 and 460

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 460?

Answer

LCM of 10 and 460 is 460

(Four hundred sixty)

Finding LCM for 10 and 460 using GCF of these numbers

The first method to find LCM for numbers 10 and 460 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 460 is 10, so

LCM = (10 × 460) ÷ 10

LCM = 4600 ÷ 10

LCM = 460

Finding LCM for 10 and 460 by Listing Multiples

The second method to find LCM for numbers 10 and 460 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, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480

Multiples of 460: 460, 920, 1380

So the LCM for 10 and 460 is 460

Finding LCM for 10 and 460 by Prime Factorization

Another method to find LCM for numbers 10 and 460 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 460: 2, 2, 5, 23 (exponent form: 22, 51, 231)

22 × 51 × 231 = 460

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 460? (The answer is: 460). Select the first number (e.g. '10') and the second number (e.g. '460'). 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
1460460
2460460
34601380
4460460
5460460
64601380
74603220
8460920
94604140
10460460
114605060
124601380
134605980
144603220
154601380
164601840
174607820
184604140
194608740
20460460
214609660
224605060
23460460
244602760
254602300
264605980
2746012420
284603220
2946013340
304601380

FAQ

What's the Least Common Multiple (LCM) of 10 and 460?

LCM of 10 and 460 is 460

How to find the LCM of 10 and 460 using prime factorization?

To find the LCM of 10 and 460, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 460.

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 460: LCM = 460, GCF = 10.

See Also