Least Common Multiple of 491, 646, 586, 748, 280

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 491, 646, 586, 748, 280 i.e. 143120666920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 491, 646, 586, 748, 280 is 143120666920.

LCM(491, 646, 586, 748, 280) = 143120666920

LCM of 491, 646, 586, 748, 280

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

LCM of:

Least Common Multiple of 491,646,586,748,280

Least Common Multiple (LCM) of 491,646,586,748,280 is 143120666920

2 491, 646, 586, 748, 280
2 491, 323, 293, 374, 140
17 491, 323, 293, 187, 70
491, 19, 293, 11, 70

∴ So the LCM of the given numbers is 2 x 2 x 17 x 491 x 19 x 293 x 11 x 70 = 143120666920

Least Common Multiple of 491,646,586,748,280 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 491,646,586,748,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,646,586,748,280) = 1

common factors(in case of two or more numbers have common factors) = 272

GCF(491,646,586,748,280) x common factors =1 x 272 = 272

LCM(491,646,586,748,280) = ( 491 × 646 × 586 × 748 × 280 ) / 272

LCM(491,646,586,748,280) = 38928821402240 / 272

LCM(491,646,586,748,280) = 143120666920

∴ Least Common Multiple of 491,646,586,748,280 is 143120666920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 491, 646, 586, 748, 280

1. What is the LCM of 491, 646, 586, 748, 280?

Answer: LCM of 491, 646, 586, 748, 280 is 143120666920.

2. What are the Factors of 143120666920?

Answer: Factors of 143120666920 are . There are integers that are factors of 143120666920

3. How to Find the LCM of 491, 646, 586, 748, 280 ?

Least Common Multiple of 491, 646, 586, 748, 280.

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(491, 646, 586, 748, 280) = 2 x 2 x 2 x 5 x 7 x 11 x 17 x 19 x 293 x 491 = 143120666920.