Least Common Multiple of 6791/688, 7296/1940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6791/688, 7296/1940 quickly i.e. 12386784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6791/688, 7296/1940 is 12386784.

LCM(6791/688, 7296/1940) = 12386784

LCM of 6791/688, 7296/1940

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 6791/688,7296/1940

Given numbers are 6791/688,7296/1940

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 6791,7296

Least Common Multiple of Numerators i.e. LCM of 6791,7296 is 49547136.

GCF of Denominators means GCF of 688,1940 as per the given fractions.

GCF of 688,1940 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6791,7296

LCM of Fractions 6791/688,7296/1940 is 12386784

Given numbers has no common factors except 1. So, there LCM is their product i.e 49547136

Least Common Multiple of 6791,7296 with GCF Formula

Least Common Multiple of 6791,7296 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 6791,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6791,7296) = 1

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

GCF(6791,7296) x common factors =1 x 1 = 1

LCM(6791,7296) = ( 6791 × 7296 ) / 1

LCM(6791,7296) = 49547136 / 1

LCM(6791,7296) = 49547136


Lets's calculate GCF of 688,1940

2 688, 1940
2 344, 970
172, 485

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49547136/4

Therefore the LCM of Fractions 6791/688,7296/1940 is 12386784

Greatest Common Factor of 688,1940 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,1940 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1,2,4,5,10,20,97,194,388,485,970,1940

Greatest Common Factor

We found the factors 688,1940 . The biggest common factor number is the GCF number.
So the greatest common factor 688,1940 is 4.


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 6791/688, 7296/1940

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 6791/688, 7296/1940?

Answer: LCM of Numerators as per given numbers 6791/688, 7296/1940 is

LCM of Numerators i.e. for 6791,7296 is 49547136

GCF of denominators i.e. for 688,1940 is 4.

Thus, LCM of Fractions is 12386784.Finally, LCM of Fractions for 6791/688, 7296/1940 is 12386784.