Least Common Multiple of 580, 494, 125, 715, 361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 580, 494, 125, 715, 361 i.e. 748533500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 580, 494, 125, 715, 361 is 748533500.

LCM(580, 494, 125, 715, 361) = 748533500

LCM of 580, 494, 125, 715, 361

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 580,494,125,715,361

Least Common Multiple (LCM) of 580,494,125,715,361 is 748533500

2 580, 494, 125, 715, 361
5 290, 247, 125, 715, 361
13 58, 247, 25, 143, 361
19 58, 19, 25, 11, 361
58, 1, 25, 11, 19

∴ So the LCM of the given numbers is 2 x 5 x 13 x 19 x 58 x 1 x 25 x 11 x 19 = 748533500

Least Common Multiple of 580,494,125,715,361 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 580,494,125,715,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,494,125,715,361) = 1

common factors(in case of two or more numbers have common factors) = 12350

GCF(580,494,125,715,361) x common factors =1 x 12350 = 12350

LCM(580,494,125,715,361) = ( 580 × 494 × 125 × 715 × 361 ) / 12350

LCM(580,494,125,715,361) = 9244388725000 / 12350

LCM(580,494,125,715,361) = 748533500

∴ Least Common Multiple of 580,494,125,715,361 is 748533500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 580, 494, 125, 715, 361

1. What is the LCM of 580, 494, 125, 715, 361?

Answer: LCM of 580, 494, 125, 715, 361 is 748533500.

2. What are the Factors of 748533500?

Answer: Factors of 748533500 are . There are integers that are factors of 748533500

3. How to Find the LCM of 580, 494, 125, 715, 361 ?

Least Common Multiple of 580, 494, 125, 715, 361.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(580, 494, 125, 715, 361) = 2 x 2 x 5 x 5 x 5 x 11 x 13 x 19 x 19 x 29 = 748533500.