Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5631/791, 3122/3943 quickly i.e. 17579982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5631/791, 3122/3943 is 17579982.
LCM(5631/791, 3122/3943) = 17579982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5631/791,3122/3943
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 5631,3122
Least Common Multiple of Numerators i.e. LCM of 5631,3122 is 17579982.
GCF of Denominators means GCF of 791,3943 as per the given fractions.
GCF of 791,3943 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5631,3122
Given numbers has no common factors except 1. So, there LCM is their product i.e 17579982
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 5631,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5631,3122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5631,3122) x common factors =1 x 1 = 1
LCM(5631,3122) = ( 5631 × 3122 ) / 1
LCM(5631,3122) = 17579982 / 1
LCM(5631,3122) = 17579982
Lets's calculate GCF of 791,3943
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17579982/1
Therefore the LCM of Fractions 5631/791,3122/3943 is 17579982
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 3943
List of positive integer factors of 3943 that divides 3943 without a remainder.
1,3943
Greatest Common Factor
We found the factors 791,3943 . The biggest common factor number is the GCF number.
So the greatest common factor 791,3943 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 5631/791, 3122/3943?
Answer: LCM of Numerators as per given numbers 5631/791, 3122/3943 is
LCM of Numerators i.e. for 5631,3122 is 17579982
GCF of denominators i.e. for 791,3943 is 1.
Thus, LCM of Fractions is 17579982.Finally, LCM of Fractions for 5631/791, 3122/3943 is 17579982.