Least Common Multiple of 6761/718, 6744/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6761/718, 6744/679 quickly i.e. 45596184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6761/718, 6744/679 is 45596184.

LCM(6761/718, 6744/679) = 45596184

LCM of 6761/718, 6744/679

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 6761/718,6744/679

Given numbers are 6761/718,6744/679

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 6761,6744

Least Common Multiple of Numerators i.e. LCM of 6761,6744 is 45596184.

GCF of Denominators means GCF of 718,679 as per the given fractions.

GCF of 718,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6761,6744

LCM of Fractions 6761/718,6744/679 is 45596184

Given numbers has no common factors except 1. So, there LCM is their product i.e 45596184

Least Common Multiple of 6761,6744 with GCF Formula

Least Common Multiple of 6761,6744 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 6761,6744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6761,6744) = 1

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

GCF(6761,6744) x common factors =1 x 1 = 1

LCM(6761,6744) = ( 6761 × 6744 ) / 1

LCM(6761,6744) = 45596184 / 1

LCM(6761,6744) = 45596184


Lets's calculate GCF of 718,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45596184/1

Therefore the LCM of Fractions 6761/718,6744/679 is 45596184

Greatest Common Factor of 718,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,679 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 718,679 . The biggest common factor number is the GCF number.
So the greatest common factor 718,679 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 6761/718, 6744/679

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 6761/718, 6744/679?

Answer: LCM of Numerators as per given numbers 6761/718, 6744/679 is

LCM of Numerators i.e. for 6761,6744 is 45596184

GCF of denominators i.e. for 718,679 is 1.

Thus, LCM of Fractions is 45596184.Finally, LCM of Fractions for 6761/718, 6744/679 is 45596184.