Least Common Multiple of 55/538, 9868/7866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/538, 9868/7866 quickly i.e. 271370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/538, 9868/7866 is 271370.

LCM(55/538, 9868/7866) = 271370

LCM of 55/538, 9868/7866

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 55/538,9868/7866

Given numbers are 55/538,9868/7866

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 55,9868

Least Common Multiple of Numerators i.e. LCM of 55,9868 is 542740.

GCF of Denominators means GCF of 538,7866 as per the given fractions.

GCF of 538,7866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,9868

LCM of Fractions 55/538,9868/7866 is 271370

Given numbers has no common factors except 1. So, there LCM is their product i.e 542740

Least Common Multiple of 55,9868 with GCF Formula

Least Common Multiple of 55,9868 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 55,9868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,9868) = 1

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

GCF(55,9868) x common factors =1 x 1 = 1

LCM(55,9868) = ( 55 × 9868 ) / 1

LCM(55,9868) = 542740 / 1

LCM(55,9868) = 542740


Lets's calculate GCF of 538,7866

2 538, 7866
269, 3933

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 542740/2

Therefore the LCM of Fractions 55/538,9868/7866 is 271370

Greatest Common Factor of 538,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,7866 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 538,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 538,7866 is 2.


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 55/538, 9868/7866

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 55/538, 9868/7866?

Answer: LCM of Numerators as per given numbers 55/538, 9868/7866 is

LCM of Numerators i.e. for 55,9868 is 542740

GCF of denominators i.e. for 538,7866 is 2.

Thus, LCM of Fractions is 271370.Finally, LCM of Fractions for 55/538, 9868/7866 is 271370.