Least Common Multiple of 6757/82, 7062/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6757/82, 7062/769 quickly i.e. 47717934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6757/82, 7062/769 is 47717934.

LCM(6757/82, 7062/769) = 47717934

LCM of 6757/82, 7062/769

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 6757/82,7062/769

Given numbers are 6757/82,7062/769

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 6757,7062

Least Common Multiple of Numerators i.e. LCM of 6757,7062 is 47717934.

GCF of Denominators means GCF of 82,769 as per the given fractions.

GCF of 82,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6757,7062

LCM of Fractions 6757/82,7062/769 is 47717934

Given numbers has no common factors except 1. So, there LCM is their product i.e 47717934

Least Common Multiple of 6757,7062 with GCF Formula

Least Common Multiple of 6757,7062 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 6757,7062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6757,7062) = 1

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

GCF(6757,7062) x common factors =1 x 1 = 1

LCM(6757,7062) = ( 6757 × 7062 ) / 1

LCM(6757,7062) = 47717934 / 1

LCM(6757,7062) = 47717934


Lets's calculate GCF of 82,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47717934/1

Therefore the LCM of Fractions 6757/82,7062/769 is 47717934

Greatest Common Factor of 82,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,769 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 82,769 . The biggest common factor number is the GCF number.
So the greatest common factor 82,769 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 6757/82, 7062/769

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 6757/82, 7062/769?

Answer: LCM of Numerators as per given numbers 6757/82, 7062/769 is

LCM of Numerators i.e. for 6757,7062 is 47717934

GCF of denominators i.e. for 82,769 is 1.

Thus, LCM of Fractions is 47717934.Finally, LCM of Fractions for 6757/82, 7062/769 is 47717934.