Least Common Multiple of 6807/300, 6812/1941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6807/300, 6812/1941 quickly i.e. 15456428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6807/300, 6812/1941 is 15456428.

LCM(6807/300, 6812/1941) = 15456428

LCM of 6807/300, 6812/1941

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 6807/300,6812/1941

Given numbers are 6807/300,6812/1941

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 6807,6812

Least Common Multiple of Numerators i.e. LCM of 6807,6812 is 46369284.

GCF of Denominators means GCF of 300,1941 as per the given fractions.

GCF of 300,1941 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6807,6812

LCM of Fractions 6807/300,6812/1941 is 15456428

Given numbers has no common factors except 1. So, there LCM is their product i.e 46369284

Least Common Multiple of 6807,6812 with GCF Formula

Least Common Multiple of 6807,6812 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 6807,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6807,6812) = 1

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

GCF(6807,6812) x common factors =1 x 1 = 1

LCM(6807,6812) = ( 6807 × 6812 ) / 1

LCM(6807,6812) = 46369284 / 1

LCM(6807,6812) = 46369284


Lets's calculate GCF of 300,1941

3 300, 1941
100, 647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46369284/3

Therefore the LCM of Fractions 6807/300,6812/1941 is 15456428

Greatest Common Factor of 300,1941 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,1941 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 1941

List of positive integer factors of 1941 that divides 1941 without a remainder.

1,3,647,1941

Greatest Common Factor

We found the factors 300,1941 . The biggest common factor number is the GCF number.
So the greatest common factor 300,1941 is 3.


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 6807/300, 6812/1941

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 6807/300, 6812/1941?

Answer: LCM of Numerators as per given numbers 6807/300, 6812/1941 is

LCM of Numerators i.e. for 6807,6812 is 46369284

GCF of denominators i.e. for 300,1941 is 3.

Thus, LCM of Fractions is 15456428.Finally, LCM of Fractions for 6807/300, 6812/1941 is 15456428.