Least Common Multiple of 6812/91, 6782/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6812/91, 6782/695 quickly i.e. 23099492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6812/91, 6782/695 is 23099492.

LCM(6812/91, 6782/695) = 23099492

LCM of 6812/91, 6782/695

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 6812/91,6782/695

Given numbers are 6812/91,6782/695

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 6812,6782

Least Common Multiple of Numerators i.e. LCM of 6812,6782 is 23099492.

GCF of Denominators means GCF of 91,695 as per the given fractions.

GCF of 91,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6812,6782

LCM of Fractions 6812/91,6782/695 is 23099492

2 6812, 6782
3406, 3391

∴ So the LCM of the given numbers is 2 x 3406 x 3391 = 23099492

Least Common Multiple of 6812,6782 with GCF Formula

Least Common Multiple of 6812,6782 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 6812,6782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6812,6782) = 2

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

GCF(6812,6782) x common factors =2 x 1 = 2

LCM(6812,6782) = ( 6812 × 6782 ) / 2

LCM(6812,6782) = 46198984 / 2

LCM(6812,6782) = 23099492


Lets's calculate GCF of 91,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23099492/1

Therefore the LCM of Fractions 6812/91,6782/695 is 23099492

Greatest Common Factor of 91,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,695 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 91,695 . The biggest common factor number is the GCF number.
So the greatest common factor 91,695 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 6812/91, 6782/695

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 6812/91, 6782/695?

Answer: LCM of Numerators as per given numbers 6812/91, 6782/695 is

LCM of Numerators i.e. for 6812,6782 is 23099492

GCF of denominators i.e. for 91,695 is 1.

Thus, LCM of Fractions is 23099492.Finally, LCM of Fractions for 6812/91, 6782/695 is 23099492.