Least Common Multiple of 6693/279, 6326/6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6693/279, 6326/6036 quickly i.e. 14113306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6693/279, 6326/6036 is 14113306.

LCM(6693/279, 6326/6036) = 14113306

LCM of 6693/279, 6326/6036

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 6693/279,6326/6036

Given numbers are 6693/279,6326/6036

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 6693,6326

Least Common Multiple of Numerators i.e. LCM of 6693,6326 is 42339918.

GCF of Denominators means GCF of 279,6036 as per the given fractions.

GCF of 279,6036 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6693,6326

LCM of Fractions 6693/279,6326/6036 is 14113306

Given numbers has no common factors except 1. So, there LCM is their product i.e 42339918

Least Common Multiple of 6693,6326 with GCF Formula

Least Common Multiple of 6693,6326 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 6693,6326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6693,6326) = 1

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

GCF(6693,6326) x common factors =1 x 1 = 1

LCM(6693,6326) = ( 6693 × 6326 ) / 1

LCM(6693,6326) = 42339918 / 1

LCM(6693,6326) = 42339918


Lets's calculate GCF of 279,6036

3 279, 6036
93, 2012

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42339918/3

Therefore the LCM of Fractions 6693/279,6326/6036 is 14113306

Greatest Common Factor of 279,6036 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,6036 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Greatest Common Factor

We found the factors 279,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 279,6036 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6693/279, 6326/6036

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 6693/279, 6326/6036?

Answer: LCM of Numerators as per given numbers 6693/279, 6326/6036 is

LCM of Numerators i.e. for 6693,6326 is 42339918

GCF of denominators i.e. for 279,6036 is 3.

Thus, LCM of Fractions is 14113306.Finally, LCM of Fractions for 6693/279, 6326/6036 is 14113306.