Least Common Multiple of 7936/92, 4909/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7936/92, 4909/872 quickly i.e. 9739456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7936/92, 4909/872 is 9739456.

LCM(7936/92, 4909/872) = 9739456

LCM of 7936/92, 4909/872

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 7936/92,4909/872

Given numbers are 7936/92,4909/872

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 7936,4909

Least Common Multiple of Numerators i.e. LCM of 7936,4909 is 38957824.

GCF of Denominators means GCF of 92,872 as per the given fractions.

GCF of 92,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7936,4909

LCM of Fractions 7936/92,4909/872 is 9739456

Given numbers has no common factors except 1. So, there LCM is their product i.e 38957824

Least Common Multiple of 7936,4909 with GCF Formula

Least Common Multiple of 7936,4909 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 7936,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7936,4909) = 1

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

GCF(7936,4909) x common factors =1 x 1 = 1

LCM(7936,4909) = ( 7936 × 4909 ) / 1

LCM(7936,4909) = 38957824 / 1

LCM(7936,4909) = 38957824


Lets's calculate GCF of 92,872

2 92, 872
2 46, 436
23, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38957824/4

Therefore the LCM of Fractions 7936/92,4909/872 is 9739456

Greatest Common Factor of 92,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,872 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 92,872 . The biggest common factor number is the GCF number.
So the greatest common factor 92,872 is 4.


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Frequently Asked Questions on Fractional LCM of 7936/92, 4909/872

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 7936/92, 4909/872?

Answer: LCM of Numerators as per given numbers 7936/92, 4909/872 is

LCM of Numerators i.e. for 7936,4909 is 38957824

GCF of denominators i.e. for 92,872 is 4.

Thus, LCM of Fractions is 9739456.Finally, LCM of Fractions for 7936/92, 4909/872 is 9739456.