Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4831/916, 2713/2119 quickly i.e. 13106503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4831/916, 2713/2119 is 13106503.
LCM(4831/916, 2713/2119) = 13106503
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4831/916,2713/2119
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 4831,2713
Least Common Multiple of Numerators i.e. LCM of 4831,2713 is 13106503.
GCF of Denominators means GCF of 916,2119 as per the given fractions.
GCF of 916,2119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4831,2713
Given numbers has no common factors except 1. So, there LCM is their product i.e 13106503
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 4831,2713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4831,2713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4831,2713) x common factors =1 x 1 = 1
LCM(4831,2713) = ( 4831 × 2713 ) / 1
LCM(4831,2713) = 13106503 / 1
LCM(4831,2713) = 13106503
Lets's calculate GCF of 916,2119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13106503/1
Therefore the LCM of Fractions 4831/916,2713/2119 is 13106503
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 2119
List of positive integer factors of 2119 that divides 2119 without a remainder.
1,13,163,2119
Greatest Common Factor
We found the factors 916,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 916,2119 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 4831/916, 2713/2119?
Answer: LCM of Numerators as per given numbers 4831/916, 2713/2119 is
LCM of Numerators i.e. for 4831,2713 is 13106503
GCF of denominators i.e. for 916,2119 is 1.
Thus, LCM of Fractions is 13106503.Finally, LCM of Fractions for 4831/916, 2713/2119 is 13106503.