Least Common Multiple of 5941/189, 8886/9423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5941/189, 8886/9423 quickly i.e. 52791726/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5941/189, 8886/9423 is 52791726/27.

LCM(5941/189, 8886/9423) = 52791726/27

LCM of 5941/189, 8886/9423

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 5941/189,8886/9423

Given numbers are 5941/189,8886/9423

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 5941,8886

Least Common Multiple of Numerators i.e. LCM of 5941,8886 is 52791726.

GCF of Denominators means GCF of 189,9423 as per the given fractions.

GCF of 189,9423 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5941,8886

LCM of Fractions 5941/189,8886/9423 is 52791726/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 52791726

Least Common Multiple of 5941,8886 with GCF Formula

Least Common Multiple of 5941,8886 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 5941,8886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5941,8886) = 1

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

GCF(5941,8886) x common factors =1 x 1 = 1

LCM(5941,8886) = ( 5941 × 8886 ) / 1

LCM(5941,8886) = 52791726 / 1

LCM(5941,8886) = 52791726


Lets's calculate GCF of 189,9423

3 189, 9423
3 63, 3141
3 21, 1047
7, 349

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52791726/27

Therefore the LCM of Fractions 5941/189,8886/9423 is 52791726/27

Greatest Common Factor of 189,9423 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,9423 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1,3,9,27,349,1047,3141,9423

Greatest Common Factor

We found the factors 189,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 189,9423 is 27.


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 5941/189, 8886/9423

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 5941/189, 8886/9423?

Answer: LCM of Numerators as per given numbers 5941/189, 8886/9423 is

LCM of Numerators i.e. for 5941,8886 is 52791726

GCF of denominators i.e. for 189,9423 is 27.

Thus, LCM of Fractions is 52791726/27.Finally, LCM of Fractions for 5941/189, 8886/9423 is 52791726/27.