Least Common Multiple of 761/218, 607/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/218, 607/543 quickly i.e. 461927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/218, 607/543 is 461927.

LCM(761/218, 607/543) = 461927

LCM of 761/218, 607/543

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 761/218,607/543

Given numbers are 761/218,607/543

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 761,607

Least Common Multiple of Numerators i.e. LCM of 761,607 is 461927.

GCF of Denominators means GCF of 218,543 as per the given fractions.

GCF of 218,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,607

LCM of Fractions 761/218,607/543 is 461927

Given numbers has no common factors except 1. So, there LCM is their product i.e 461927

Least Common Multiple of 761,607 with GCF Formula

Least Common Multiple of 761,607 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 761,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,607) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(761,607) x common factors =1 x 1 = 1

LCM(761,607) = ( 761 × 607 ) / 1

LCM(761,607) = 461927 / 1

LCM(761,607) = 461927


Lets's calculate GCF of 218,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461927/1

Therefore the LCM of Fractions 761/218,607/543 is 461927

Greatest Common Factor of 218,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,543 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 543

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

1,3,181,543

Greatest Common Factor

We found the factors 218,543 . The biggest common factor number is the GCF number.
So the greatest common factor 218,543 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 761/218, 607/543

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 761/218, 607/543?

Answer: LCM of Numerators as per given numbers 761/218, 607/543 is

LCM of Numerators i.e. for 761,607 is 461927

GCF of denominators i.e. for 218,543 is 1.

Thus, LCM of Fractions is 461927.Finally, LCM of Fractions for 761/218, 607/543 is 461927.