Least Common Multiple of 489, 771, 180, 742

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 489, 771, 180, 742 i.e. 2797480980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 771, 180, 742 is 2797480980.

LCM(489, 771, 180, 742) = 2797480980

LCM of 489, 771, 180, 742

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

LCM of:

Least Common Multiple of 489,771,180,742

Least Common Multiple (LCM) of 489,771,180,742 is 2797480980

2 489, 771, 180, 742
3 489, 771, 90, 371
163, 257, 30, 371

∴ So the LCM of the given numbers is 2 x 3 x 163 x 257 x 30 x 371 = 2797480980

Least Common Multiple of 489,771,180,742 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 489,771,180,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,771,180,742) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(489,771,180,742) x common factors =1 x 18 = 18

LCM(489,771,180,742) = ( 489 × 771 × 180 × 742 ) / 18

LCM(489,771,180,742) = 50354657640 / 18

LCM(489,771,180,742) = 2797480980

∴ Least Common Multiple of 489,771,180,742 is 2797480980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 489, 771, 180, 742

1. What is the LCM of 489, 771, 180, 742?

Answer: LCM of 489, 771, 180, 742 is 2797480980.

2. What are the Factors of 2797480980?

Answer: Factors of 2797480980 are . There are integers that are factors of 2797480980

3. How to Find the LCM of 489, 771, 180, 742 ?

Least Common Multiple of 489, 771, 180, 742.

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(489, 771, 180, 742) = 2 x 2 x 3 x 3 x 5 x 7 x 53 x 163 x 257 = 2797480980.