Least Common Multiple of 2117/204, 5679/1188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2117/204, 5679/1188 quickly i.e. 12022443/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2117/204, 5679/1188 is 12022443/12.

LCM(2117/204, 5679/1188) = 12022443/12

LCM of 2117/204, 5679/1188

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 2117/204,5679/1188

Given numbers are 2117/204,5679/1188

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 2117,5679

Least Common Multiple of Numerators i.e. LCM of 2117,5679 is 12022443.

GCF of Denominators means GCF of 204,1188 as per the given fractions.

GCF of 204,1188 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2117,5679

LCM of Fractions 2117/204,5679/1188 is 12022443/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 12022443

Least Common Multiple of 2117,5679 with GCF Formula

Least Common Multiple of 2117,5679 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 2117,5679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2117,5679) = 1

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

GCF(2117,5679) x common factors =1 x 1 = 1

LCM(2117,5679) = ( 2117 × 5679 ) / 1

LCM(2117,5679) = 12022443 / 1

LCM(2117,5679) = 12022443


Lets's calculate GCF of 204,1188

2 204, 1188
2 102, 594
3 51, 297
17, 99

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12022443/12

Therefore the LCM of Fractions 2117/204,5679/1188 is 12022443/12

Greatest Common Factor of 204,1188 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,1188 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188

Greatest Common Factor

We found the factors 204,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 204,1188 is 12.


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 2117/204, 5679/1188

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 2117/204, 5679/1188?

Answer: LCM of Numerators as per given numbers 2117/204, 5679/1188 is

LCM of Numerators i.e. for 2117,5679 is 12022443

GCF of denominators i.e. for 204,1188 is 12.

Thus, LCM of Fractions is 12022443/12.Finally, LCM of Fractions for 2117/204, 5679/1188 is 12022443/12.