Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2367/303, 3806/4326 quickly i.e. 3002934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2367/303, 3806/4326 is 3002934.
LCM(2367/303, 3806/4326) = 3002934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2367/303,3806/4326
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 2367,3806
Least Common Multiple of Numerators i.e. LCM of 2367,3806 is 9008802.
GCF of Denominators means GCF of 303,4326 as per the given fractions.
GCF of 303,4326 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2367,3806
Given numbers has no common factors except 1. So, there LCM is their product i.e 9008802
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 2367,3806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2367,3806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2367,3806) x common factors =1 x 1 = 1
LCM(2367,3806) = ( 2367 × 3806 ) / 1
LCM(2367,3806) = 9008802 / 1
LCM(2367,3806) = 9008802
Lets's calculate GCF of 303,4326
3 | 303, 4326 |
101, 1442 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9008802/3
Therefore the LCM of Fractions 2367/303,3806/4326 is 3002934
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 4326
List of positive integer factors of 4326 that divides 4326 without a remainder.
1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326
Greatest Common Factor
We found the factors 303,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 303,4326 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 2367/303, 3806/4326?
Answer: LCM of Numerators as per given numbers 2367/303, 3806/4326 is
LCM of Numerators i.e. for 2367,3806 is 9008802
GCF of denominators i.e. for 303,4326 is 3.
Thus, LCM of Fractions is 3002934.Finally, LCM of Fractions for 2367/303, 3806/4326 is 3002934.