Least Common Multiple of 91/109, 815/772, 424/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/109, 815/772, 424/234 quickly i.e. 31445960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/109, 815/772, 424/234 is 31445960.

LCM(91/109, 815/772, 424/234) = 31445960

LCM of 91/109, 815/772, 424/234

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 91/109,815/772,424/234

Given numbers are 91/109,815/772,424/234

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 91,815,424

Least Common Multiple of Numerators i.e. LCM of 91,815,424 is 31445960.

GCF of Denominators means GCF of 109,772,234 as per the given fractions.

GCF of 109,772,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,815,424

LCM of Fractions 91/109,815/772,424/234 is 31445960

Given numbers has no common factors except 1. So, there LCM is their product i.e 31445960

Least Common Multiple of 91,815,424 with GCF Formula

Least Common Multiple of 91,815,424 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 91,815,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,815,424) = 1

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

GCF(91,815,424) x common factors =1 x 1 = 1

LCM(91,815,424) = ( 91 × 815 × 424 ) / 1

LCM(91,815,424) = 31445960 / 1

LCM(91,815,424) = 31445960


Lets's calculate GCF of 109,772,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31445960/1

Therefore the LCM of Fractions 91/109,815/772,424/234 is 31445960

Greatest Common Factor of 109,772,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,772,234 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 109,772,234 . The biggest common factor number is the GCF number.
So the greatest common factor 109,772,234 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 91/109, 815/772, 424/234

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 91/109, 815/772, 424/234?

Answer: LCM of Numerators as per given numbers 91/109, 815/772, 424/234 is

LCM of Numerators i.e. for 91,815,424 is 31445960

GCF of denominators i.e. for 109,772,234 is 1.

Thus, LCM of Fractions is 31445960.Finally, LCM of Fractions for 91/109, 815/772, 424/234 is 31445960.