Least Common Multiple of 8032/500, 3746/9098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8032/500, 3746/9098 quickly i.e. 7521968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8032/500, 3746/9098 is 7521968.

LCM(8032/500, 3746/9098) = 7521968

LCM of 8032/500, 3746/9098

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 8032/500,3746/9098

Given numbers are 8032/500,3746/9098

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 8032,3746

Least Common Multiple of Numerators i.e. LCM of 8032,3746 is 15043936.

GCF of Denominators means GCF of 500,9098 as per the given fractions.

GCF of 500,9098 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8032,3746

LCM of Fractions 8032/500,3746/9098 is 7521968

2 8032, 3746
4016, 1873

∴ So the LCM of the given numbers is 2 x 4016 x 1873 = 15043936

Least Common Multiple of 8032,3746 with GCF Formula

Least Common Multiple of 8032,3746 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 8032,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8032,3746) = 2

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

GCF(8032,3746) x common factors =2 x 1 = 2

LCM(8032,3746) = ( 8032 × 3746 ) / 2

LCM(8032,3746) = 30087872 / 2

LCM(8032,3746) = 15043936


Lets's calculate GCF of 500,9098

2 500, 9098
250, 4549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15043936/2

Therefore the LCM of Fractions 8032/500,3746/9098 is 7521968

Greatest Common Factor of 500,9098 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,9098 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 9098

List of positive integer factors of 9098 that divides 9098 without a remainder.

1,2,4549,9098

Greatest Common Factor

We found the factors 500,9098 . The biggest common factor number is the GCF number.
So the greatest common factor 500,9098 is 2.


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 8032/500, 3746/9098

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 8032/500, 3746/9098?

Answer: LCM of Numerators as per given numbers 8032/500, 3746/9098 is

LCM of Numerators i.e. for 8032,3746 is 15043936

GCF of denominators i.e. for 500,9098 is 2.

Thus, LCM of Fractions is 7521968.Finally, LCM of Fractions for 8032/500, 3746/9098 is 7521968.