Least Common Multiple of 11/988, 5984/2109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/988, 5984/2109 quickly i.e. 5984/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/988, 5984/2109 is 5984/19.

LCM(11/988, 5984/2109) = 5984/19

LCM of 11/988, 5984/2109

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 11/988,5984/2109

Given numbers are 11/988,5984/2109

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 11,5984

Least Common Multiple of Numerators i.e. LCM of 11,5984 is 5984.

GCF of Denominators means GCF of 988,2109 as per the given fractions.

GCF of 988,2109 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,5984

LCM of Fractions 11/988,5984/2109 is 5984/19

11 11, 5984
1, 544

∴ So the LCM of the given numbers is 11 x 1 x 544 = 5984

Least Common Multiple of 11,5984 with GCF Formula

Least Common Multiple of 11,5984 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 11,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,5984) = 11

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

GCF(11,5984) x common factors =11 x 1 = 11

LCM(11,5984) = ( 11 × 5984 ) / 11

LCM(11,5984) = 65824 / 11

LCM(11,5984) = 5984


Lets's calculate GCF of 988,2109

19 988, 2109
52, 111

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5984/19

Therefore the LCM of Fractions 11/988,5984/2109 is 5984/19

Greatest Common Factor of 988,2109 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,2109 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 2109

List of positive integer factors of 2109 that divides 2109 without a remainder.

1,3,19,37,57,111,703,2109

Greatest Common Factor

We found the factors 988,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2109 is 19.


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 11/988, 5984/2109

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 11/988, 5984/2109?

Answer: LCM of Numerators as per given numbers 11/988, 5984/2109 is

LCM of Numerators i.e. for 11,5984 is 5984

GCF of denominators i.e. for 988,2109 is 19.

Thus, LCM of Fractions is 5984/19.Finally, LCM of Fractions for 11/988, 5984/2109 is 5984/19.