Least Common Multiple of 4751/731, 2097/5675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4751/731, 2097/5675 quickly i.e. 9962847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4751/731, 2097/5675 is 9962847.

LCM(4751/731, 2097/5675) = 9962847

LCM of 4751/731, 2097/5675

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 4751/731,2097/5675

Given numbers are 4751/731,2097/5675

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 4751,2097

Least Common Multiple of Numerators i.e. LCM of 4751,2097 is 9962847.

GCF of Denominators means GCF of 731,5675 as per the given fractions.

GCF of 731,5675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4751,2097

LCM of Fractions 4751/731,2097/5675 is 9962847

Given numbers has no common factors except 1. So, there LCM is their product i.e 9962847

Least Common Multiple of 4751,2097 with GCF Formula

Least Common Multiple of 4751,2097 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 4751,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4751,2097) = 1

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

GCF(4751,2097) x common factors =1 x 1 = 1

LCM(4751,2097) = ( 4751 × 2097 ) / 1

LCM(4751,2097) = 9962847 / 1

LCM(4751,2097) = 9962847


Lets's calculate GCF of 731,5675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9962847/1

Therefore the LCM of Fractions 4751/731,2097/5675 is 9962847

Greatest Common Factor of 731,5675 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,5675 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 5675

List of positive integer factors of 5675 that divides 5675 without a remainder.

1,5,25,227,1135,5675

Greatest Common Factor

We found the factors 731,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 731,5675 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4751/731, 2097/5675

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 4751/731, 2097/5675?

Answer: LCM of Numerators as per given numbers 4751/731, 2097/5675 is

LCM of Numerators i.e. for 4751,2097 is 9962847

GCF of denominators i.e. for 731,5675 is 1.

Thus, LCM of Fractions is 9962847.Finally, LCM of Fractions for 4751/731, 2097/5675 is 9962847.