Least Common Multiple of 302/543, 380/885, 959/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/543, 380/885, 959/202 quickly i.e. 55027420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/543, 380/885, 959/202 is 55027420.

LCM(302/543, 380/885, 959/202) = 55027420

LCM of 302/543, 380/885, 959/202

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 302/543,380/885,959/202

Given numbers are 302/543,380/885,959/202

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 302,380,959

Least Common Multiple of Numerators i.e. LCM of 302,380,959 is 55027420.

GCF of Denominators means GCF of 543,885,202 as per the given fractions.

GCF of 543,885,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,380,959

LCM of Fractions 302/543,380/885,959/202 is 55027420

2 302, 380, 959
151, 190, 959

∴ So the LCM of the given numbers is 2 x 151 x 190 x 959 = 55027420

Least Common Multiple of 302,380,959 with GCF Formula

Least Common Multiple of 302,380,959 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 302,380,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,380,959) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(302,380,959) x common factors =1 x 2 = 2

LCM(302,380,959) = ( 302 × 380 × 959 ) / 2

LCM(302,380,959) = 110054840 / 2

LCM(302,380,959) = 55027420


Lets's calculate GCF of 543,885,202

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55027420/1

Therefore the LCM of Fractions 302/543,380/885,959/202 is 55027420

Greatest Common Factor of 543,885,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,885,202 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 543,885,202 . The biggest common factor number is the GCF number.
So the greatest common factor 543,885,202 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 302/543, 380/885, 959/202

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 302/543, 380/885, 959/202?

Answer: LCM of Numerators as per given numbers 302/543, 380/885, 959/202 is

LCM of Numerators i.e. for 302,380,959 is 55027420

GCF of denominators i.e. for 543,885,202 is 1.

Thus, LCM of Fractions is 55027420.Finally, LCM of Fractions for 302/543, 380/885, 959/202 is 55027420.