Least Common Multiple of 9938/991, 5544/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9938/991, 5544/123 quickly i.e. 27548136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9938/991, 5544/123 is 27548136.

LCM(9938/991, 5544/123) = 27548136

LCM of 9938/991, 5544/123

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 9938/991,5544/123

Given numbers are 9938/991,5544/123

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 9938,5544

Least Common Multiple of Numerators i.e. LCM of 9938,5544 is 27548136.

GCF of Denominators means GCF of 991,123 as per the given fractions.

GCF of 991,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9938,5544

LCM of Fractions 9938/991,5544/123 is 27548136

2 9938, 5544
4969, 2772

∴ So the LCM of the given numbers is 2 x 4969 x 2772 = 27548136

Least Common Multiple of 9938,5544 with GCF Formula

Least Common Multiple of 9938,5544 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 9938,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9938,5544) = 2

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

GCF(9938,5544) x common factors =2 x 1 = 2

LCM(9938,5544) = ( 9938 × 5544 ) / 2

LCM(9938,5544) = 55096272 / 2

LCM(9938,5544) = 27548136


Lets's calculate GCF of 991,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27548136/1

Therefore the LCM of Fractions 9938/991,5544/123 is 27548136

Greatest Common Factor of 991,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,123 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 991,123 . The biggest common factor number is the GCF number.
So the greatest common factor 991,123 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 9938/991, 5544/123

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 9938/991, 5544/123?

Answer: LCM of Numerators as per given numbers 9938/991, 5544/123 is

LCM of Numerators i.e. for 9938,5544 is 27548136

GCF of denominators i.e. for 991,123 is 1.

Thus, LCM of Fractions is 27548136.Finally, LCM of Fractions for 9938/991, 5544/123 is 27548136.