Least Common Multiple of 5238/111, 2727/1236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5238/111, 2727/1236 quickly i.e. 176346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5238/111, 2727/1236 is 176346.

LCM(5238/111, 2727/1236) = 176346

LCM of 5238/111, 2727/1236

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 5238/111,2727/1236

Given numbers are 5238/111,2727/1236

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 5238,2727

Least Common Multiple of Numerators i.e. LCM of 5238,2727 is 529038.

GCF of Denominators means GCF of 111,1236 as per the given fractions.

GCF of 111,1236 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5238,2727

LCM of Fractions 5238/111,2727/1236 is 176346

3 5238, 2727
3 1746, 909
3 582, 303
194, 101

∴ So the LCM of the given numbers is 3 x 3 x 3 x 194 x 101 = 529038

Least Common Multiple of 5238,2727 with GCF Formula

Least Common Multiple of 5238,2727 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 5238,2727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5238,2727) = 27

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

GCF(5238,2727) x common factors =27 x 1 = 27

LCM(5238,2727) = ( 5238 × 2727 ) / 27

LCM(5238,2727) = 14284026 / 27

LCM(5238,2727) = 529038


Lets's calculate GCF of 111,1236

3 111, 1236
37, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529038/3

Therefore the LCM of Fractions 5238/111,2727/1236 is 176346

Greatest Common Factor of 111,1236 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,1236 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 1236

List of positive integer factors of 1236 that divides 1236 without a remainder.

1,2,3,4,6,12,103,206,309,412,618,1236

Greatest Common Factor

We found the factors 111,1236 . The biggest common factor number is the GCF number.
So the greatest common factor 111,1236 is 3.


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 5238/111, 2727/1236

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 5238/111, 2727/1236?

Answer: LCM of Numerators as per given numbers 5238/111, 2727/1236 is

LCM of Numerators i.e. for 5238,2727 is 529038

GCF of denominators i.e. for 111,1236 is 3.

Thus, LCM of Fractions is 176346.Finally, LCM of Fractions for 5238/111, 2727/1236 is 176346.