Least Common Multiple of 5079/293, 8617/5264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5079/293, 8617/5264 quickly i.e. 43765743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5079/293, 8617/5264 is 43765743.

LCM(5079/293, 8617/5264) = 43765743

LCM of 5079/293, 8617/5264

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 5079/293,8617/5264

Given numbers are 5079/293,8617/5264

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 5079,8617

Least Common Multiple of Numerators i.e. LCM of 5079,8617 is 43765743.

GCF of Denominators means GCF of 293,5264 as per the given fractions.

GCF of 293,5264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5079,8617

LCM of Fractions 5079/293,8617/5264 is 43765743

Given numbers has no common factors except 1. So, there LCM is their product i.e 43765743

Least Common Multiple of 5079,8617 with GCF Formula

Least Common Multiple of 5079,8617 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 5079,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5079,8617) = 1

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

GCF(5079,8617) x common factors =1 x 1 = 1

LCM(5079,8617) = ( 5079 × 8617 ) / 1

LCM(5079,8617) = 43765743 / 1

LCM(5079,8617) = 43765743


Lets's calculate GCF of 293,5264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43765743/1

Therefore the LCM of Fractions 5079/293,8617/5264 is 43765743

Greatest Common Factor of 293,5264 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,5264 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Greatest Common Factor

We found the factors 293,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 293,5264 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5079/293, 8617/5264

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 5079/293, 8617/5264?

Answer: LCM of Numerators as per given numbers 5079/293, 8617/5264 is

LCM of Numerators i.e. for 5079,8617 is 43765743

GCF of denominators i.e. for 293,5264 is 1.

Thus, LCM of Fractions is 43765743.Finally, LCM of Fractions for 5079/293, 8617/5264 is 43765743.