Least Common Multiple of 260, 845, 510, 586, 542

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 260, 845, 510, 586, 542 i.e. 13687489140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 260, 845, 510, 586, 542 is 13687489140.

LCM(260, 845, 510, 586, 542) = 13687489140

LCM of 260, 845, 510, 586, 542

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

LCM of:

Least Common Multiple of 260,845,510,586,542

Least Common Multiple (LCM) of 260,845,510,586,542 is 13687489140

2 260, 845, 510, 586, 542
5 130, 845, 255, 293, 271
13 26, 169, 51, 293, 271
2, 13, 51, 293, 271

∴ So the LCM of the given numbers is 2 x 5 x 13 x 2 x 13 x 51 x 293 x 271 = 13687489140

Least Common Multiple of 260,845,510,586,542 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 260,845,510,586,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,845,510,586,542) = 1

common factors(in case of two or more numbers have common factors) = 2600

GCF(260,845,510,586,542) x common factors =1 x 2600 = 2600

LCM(260,845,510,586,542) = ( 260 × 845 × 510 × 586 × 542 ) / 2600

LCM(260,845,510,586,542) = 35587471764000 / 2600

LCM(260,845,510,586,542) = 13687489140

∴ Least Common Multiple of 260,845,510,586,542 is 13687489140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 260, 845, 510, 586, 542

1. What is the LCM of 260, 845, 510, 586, 542?

Answer: LCM of 260, 845, 510, 586, 542 is 13687489140.

2. What are the Factors of 13687489140?

Answer: Factors of 13687489140 are . There are integers that are factors of 13687489140

3. How to Find the LCM of 260, 845, 510, 586, 542 ?

Least Common Multiple of 260, 845, 510, 586, 542.

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(260, 845, 510, 586, 542) = 2 x 2 x 3 x 5 x 13 x 13 x 17 x 271 x 293 = 13687489140.