Least Common Multiple of 107/541, 7809/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/541, 7809/118 quickly i.e. 835563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/541, 7809/118 is 835563.

LCM(107/541, 7809/118) = 835563

LCM of 107/541, 7809/118

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 107/541,7809/118

Given numbers are 107/541,7809/118

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 107,7809

Least Common Multiple of Numerators i.e. LCM of 107,7809 is 835563.

GCF of Denominators means GCF of 541,118 as per the given fractions.

GCF of 541,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,7809

LCM of Fractions 107/541,7809/118 is 835563

Given numbers has no common factors except 1. So, there LCM is their product i.e 835563

Least Common Multiple of 107,7809 with GCF Formula

Least Common Multiple of 107,7809 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 107,7809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,7809) = 1

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

GCF(107,7809) x common factors =1 x 1 = 1

LCM(107,7809) = ( 107 × 7809 ) / 1

LCM(107,7809) = 835563 / 1

LCM(107,7809) = 835563


Lets's calculate GCF of 541,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 835563/1

Therefore the LCM of Fractions 107/541,7809/118 is 835563

Greatest Common Factor of 541,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,118 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 541,118 . The biggest common factor number is the GCF number.
So the greatest common factor 541,118 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 107/541, 7809/118

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 107/541, 7809/118?

Answer: LCM of Numerators as per given numbers 107/541, 7809/118 is

LCM of Numerators i.e. for 107,7809 is 835563

GCF of denominators i.e. for 541,118 is 1.

Thus, LCM of Fractions is 835563.Finally, LCM of Fractions for 107/541, 7809/118 is 835563.