Least Common Multiple of 8131/794, 7223/4109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8131/794, 7223/4109 quickly i.e. 58730213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8131/794, 7223/4109 is 58730213.

LCM(8131/794, 7223/4109) = 58730213

LCM of 8131/794, 7223/4109

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 8131/794,7223/4109

Given numbers are 8131/794,7223/4109

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 8131,7223

Least Common Multiple of Numerators i.e. LCM of 8131,7223 is 58730213.

GCF of Denominators means GCF of 794,4109 as per the given fractions.

GCF of 794,4109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8131,7223

LCM of Fractions 8131/794,7223/4109 is 58730213

Given numbers has no common factors except 1. So, there LCM is their product i.e 58730213

Least Common Multiple of 8131,7223 with GCF Formula

Least Common Multiple of 8131,7223 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 8131,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8131,7223) = 1

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

GCF(8131,7223) x common factors =1 x 1 = 1

LCM(8131,7223) = ( 8131 × 7223 ) / 1

LCM(8131,7223) = 58730213 / 1

LCM(8131,7223) = 58730213


Lets's calculate GCF of 794,4109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58730213/1

Therefore the LCM of Fractions 8131/794,7223/4109 is 58730213

Greatest Common Factor of 794,4109 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,4109 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 4109

List of positive integer factors of 4109 that divides 4109 without a remainder.

1,7,587,4109

Greatest Common Factor

We found the factors 794,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 794,4109 is 1.


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 8131/794, 7223/4109

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 8131/794, 7223/4109?

Answer: LCM of Numerators as per given numbers 8131/794, 7223/4109 is

LCM of Numerators i.e. for 8131,7223 is 58730213

GCF of denominators i.e. for 794,4109 is 1.

Thus, LCM of Fractions is 58730213.Finally, LCM of Fractions for 8131/794, 7223/4109 is 58730213.