Least Common Multiple of 7412/107, 5759/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7412/107, 5759/371 quickly i.e. 42685708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7412/107, 5759/371 is 42685708.

LCM(7412/107, 5759/371) = 42685708

LCM of 7412/107, 5759/371

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 7412/107,5759/371

Given numbers are 7412/107,5759/371

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 7412,5759

Least Common Multiple of Numerators i.e. LCM of 7412,5759 is 42685708.

GCF of Denominators means GCF of 107,371 as per the given fractions.

GCF of 107,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7412,5759

LCM of Fractions 7412/107,5759/371 is 42685708

Given numbers has no common factors except 1. So, there LCM is their product i.e 42685708

Least Common Multiple of 7412,5759 with GCF Formula

Least Common Multiple of 7412,5759 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 7412,5759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7412,5759) = 1

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

GCF(7412,5759) x common factors =1 x 1 = 1

LCM(7412,5759) = ( 7412 × 5759 ) / 1

LCM(7412,5759) = 42685708 / 1

LCM(7412,5759) = 42685708


Lets's calculate GCF of 107,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42685708/1

Therefore the LCM of Fractions 7412/107,5759/371 is 42685708

Greatest Common Factor of 107,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,371 By Matching Biggest Common Factor Method

Factors of 107

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

1,107

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 107,371 . The biggest common factor number is the GCF number.
So the greatest common factor 107,371 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 7412/107, 5759/371

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 7412/107, 5759/371?

Answer: LCM of Numerators as per given numbers 7412/107, 5759/371 is

LCM of Numerators i.e. for 7412,5759 is 42685708

GCF of denominators i.e. for 107,371 is 1.

Thus, LCM of Fractions is 42685708.Finally, LCM of Fractions for 7412/107, 5759/371 is 42685708.