Least Common Multiple of 6632/20, 6789/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6632/20, 6789/286 quickly i.e. 22512324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6632/20, 6789/286 is 22512324.

LCM(6632/20, 6789/286) = 22512324

LCM of 6632/20, 6789/286

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 6632/20,6789/286

Given numbers are 6632/20,6789/286

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 6632,6789

Least Common Multiple of Numerators i.e. LCM of 6632,6789 is 45024648.

GCF of Denominators means GCF of 20,286 as per the given fractions.

GCF of 20,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6632,6789

LCM of Fractions 6632/20,6789/286 is 22512324

Given numbers has no common factors except 1. So, there LCM is their product i.e 45024648

Least Common Multiple of 6632,6789 with GCF Formula

Least Common Multiple of 6632,6789 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 6632,6789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6632,6789) = 1

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

GCF(6632,6789) x common factors =1 x 1 = 1

LCM(6632,6789) = ( 6632 × 6789 ) / 1

LCM(6632,6789) = 45024648 / 1

LCM(6632,6789) = 45024648


Lets's calculate GCF of 20,286

2 20, 286
10, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45024648/2

Therefore the LCM of Fractions 6632/20,6789/286 is 22512324

Greatest Common Factor of 20,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,286 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 20,286 . The biggest common factor number is the GCF number.
So the greatest common factor 20,286 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 6632/20, 6789/286

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 6632/20, 6789/286?

Answer: LCM of Numerators as per given numbers 6632/20, 6789/286 is

LCM of Numerators i.e. for 6632,6789 is 45024648

GCF of denominators i.e. for 20,286 is 2.

Thus, LCM of Fractions is 22512324.Finally, LCM of Fractions for 6632/20, 6789/286 is 22512324.