Least Common Multiple of 6747/626, 6993/9612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6747/626, 6993/9612 quickly i.e. 15727257/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6747/626, 6993/9612 is 15727257/2.

LCM(6747/626, 6993/9612) = 15727257/2

LCM of 6747/626, 6993/9612

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 6747/626,6993/9612

Given numbers are 6747/626,6993/9612

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 6747,6993

Least Common Multiple of Numerators i.e. LCM of 6747,6993 is 15727257.

GCF of Denominators means GCF of 626,9612 as per the given fractions.

GCF of 626,9612 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6747,6993

LCM of Fractions 6747/626,6993/9612 is 15727257/2

3 6747, 6993
2249, 2331

∴ So the LCM of the given numbers is 3 x 2249 x 2331 = 15727257

Least Common Multiple of 6747,6993 with GCF Formula

Least Common Multiple of 6747,6993 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 6747,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6747,6993) = 3

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

GCF(6747,6993) x common factors =3 x 1 = 3

LCM(6747,6993) = ( 6747 × 6993 ) / 3

LCM(6747,6993) = 47181771 / 3

LCM(6747,6993) = 15727257


Lets's calculate GCF of 626,9612

2 626, 9612
313, 4806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15727257/2

Therefore the LCM of Fractions 6747/626,6993/9612 is 15727257/2

Greatest Common Factor of 626,9612 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,9612 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Greatest Common Factor

We found the factors 626,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 626,9612 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 6747/626, 6993/9612

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 6747/626, 6993/9612?

Answer: LCM of Numerators as per given numbers 6747/626, 6993/9612 is

LCM of Numerators i.e. for 6747,6993 is 15727257

GCF of denominators i.e. for 626,9612 is 2.

Thus, LCM of Fractions is 15727257/2.Finally, LCM of Fractions for 6747/626, 6993/9612 is 15727257/2.