Least Common Multiple of 5611/431, 2091/7923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5611/431, 2091/7923 quickly i.e. 11732601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5611/431, 2091/7923 is 11732601.

LCM(5611/431, 2091/7923) = 11732601

LCM of 5611/431, 2091/7923

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 5611/431,2091/7923

Given numbers are 5611/431,2091/7923

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 5611,2091

Least Common Multiple of Numerators i.e. LCM of 5611,2091 is 11732601.

GCF of Denominators means GCF of 431,7923 as per the given fractions.

GCF of 431,7923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5611,2091

LCM of Fractions 5611/431,2091/7923 is 11732601

Given numbers has no common factors except 1. So, there LCM is their product i.e 11732601

Least Common Multiple of 5611,2091 with GCF Formula

Least Common Multiple of 5611,2091 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 5611,2091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5611,2091) = 1

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

GCF(5611,2091) x common factors =1 x 1 = 1

LCM(5611,2091) = ( 5611 × 2091 ) / 1

LCM(5611,2091) = 11732601 / 1

LCM(5611,2091) = 11732601


Lets's calculate GCF of 431,7923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11732601/1

Therefore the LCM of Fractions 5611/431,2091/7923 is 11732601

Greatest Common Factor of 431,7923 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,7923 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 7923

List of positive integer factors of 7923 that divides 7923 without a remainder.

1,3,19,57,139,417,2641,7923

Greatest Common Factor

We found the factors 431,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 431,7923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5611/431, 2091/7923

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 5611/431, 2091/7923?

Answer: LCM of Numerators as per given numbers 5611/431, 2091/7923 is

LCM of Numerators i.e. for 5611,2091 is 11732601

GCF of denominators i.e. for 431,7923 is 1.

Thus, LCM of Fractions is 11732601.Finally, LCM of Fractions for 5611/431, 2091/7923 is 11732601.