Least Common Multiple of 38/147, 7761/5439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/147, 7761/5439 quickly i.e. 294918/147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/147, 7761/5439 is 294918/147.

LCM(38/147, 7761/5439) = 294918/147

LCM of 38/147, 7761/5439

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 38/147,7761/5439

Given numbers are 38/147,7761/5439

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 38,7761

Least Common Multiple of Numerators i.e. LCM of 38,7761 is 294918.

GCF of Denominators means GCF of 147,5439 as per the given fractions.

GCF of 147,5439 is 147 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7761

LCM of Fractions 38/147,7761/5439 is 294918/147

Given numbers has no common factors except 1. So, there LCM is their product i.e 294918

Least Common Multiple of 38,7761 with GCF Formula

Least Common Multiple of 38,7761 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 38,7761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7761) = 1

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

GCF(38,7761) x common factors =1 x 1 = 1

LCM(38,7761) = ( 38 × 7761 ) / 1

LCM(38,7761) = 294918 / 1

LCM(38,7761) = 294918


Lets's calculate GCF of 147,5439

3 147, 5439
7 49, 1813
7 7, 259
1, 37

∴ So the GCF of the given numbers is 3 x 7 x 7 = 147

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294918/147

Therefore the LCM of Fractions 38/147,7761/5439 is 294918/147

Greatest Common Factor of 147,5439 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,5439 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 147,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 147,5439 is 147.


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 38/147, 7761/5439

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 38/147, 7761/5439?

Answer: LCM of Numerators as per given numbers 38/147, 7761/5439 is

LCM of Numerators i.e. for 38,7761 is 294918

GCF of denominators i.e. for 147,5439 is 147.

Thus, LCM of Fractions is 294918/147.Finally, LCM of Fractions for 38/147, 7761/5439 is 294918/147.