Least Common Multiple of 4357/58, 7121/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4357/58, 7121/107 quickly i.e. 31026197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4357/58, 7121/107 is 31026197.

LCM(4357/58, 7121/107) = 31026197

LCM of 4357/58, 7121/107

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 4357/58,7121/107

Given numbers are 4357/58,7121/107

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 4357,7121

Least Common Multiple of Numerators i.e. LCM of 4357,7121 is 31026197.

GCF of Denominators means GCF of 58,107 as per the given fractions.

GCF of 58,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4357,7121

LCM of Fractions 4357/58,7121/107 is 31026197

Given numbers has no common factors except 1. So, there LCM is their product i.e 31026197

Least Common Multiple of 4357,7121 with GCF Formula

Least Common Multiple of 4357,7121 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 4357,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4357,7121) = 1

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

GCF(4357,7121) x common factors =1 x 1 = 1

LCM(4357,7121) = ( 4357 × 7121 ) / 1

LCM(4357,7121) = 31026197 / 1

LCM(4357,7121) = 31026197


Lets's calculate GCF of 58,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31026197/1

Therefore the LCM of Fractions 4357/58,7121/107 is 31026197

Greatest Common Factor of 58,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,107 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 58,107 . The biggest common factor number is the GCF number.
So the greatest common factor 58,107 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 4357/58, 7121/107

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 4357/58, 7121/107?

Answer: LCM of Numerators as per given numbers 4357/58, 7121/107 is

LCM of Numerators i.e. for 4357,7121 is 31026197

GCF of denominators i.e. for 58,107 is 1.

Thus, LCM of Fractions is 31026197.Finally, LCM of Fractions for 4357/58, 7121/107 is 31026197.