Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3131/941, 3847/1326 quickly i.e. 12044957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3131/941, 3847/1326 is 12044957.
LCM(3131/941, 3847/1326) = 12044957
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3131/941,3847/1326
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 3131,3847
Least Common Multiple of Numerators i.e. LCM of 3131,3847 is 12044957.
GCF of Denominators means GCF of 941,1326 as per the given fractions.
GCF of 941,1326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3131,3847
Given numbers has no common factors except 1. So, there LCM is their product i.e 12044957
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 3131,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3131,3847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3131,3847) x common factors =1 x 1 = 1
LCM(3131,3847) = ( 3131 × 3847 ) / 1
LCM(3131,3847) = 12044957 / 1
LCM(3131,3847) = 12044957
Lets's calculate GCF of 941,1326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12044957/1
Therefore the LCM of Fractions 3131/941,3847/1326 is 12044957
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 1326
List of positive integer factors of 1326 that divides 1326 without a remainder.
1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 941,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 941,1326 is 1.
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 3131/941, 3847/1326?
Answer: LCM of Numerators as per given numbers 3131/941, 3847/1326 is
LCM of Numerators i.e. for 3131,3847 is 12044957
GCF of denominators i.e. for 941,1326 is 1.
Thus, LCM of Fractions is 12044957.Finally, LCM of Fractions for 3131/941, 3847/1326 is 12044957.