Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4694/103, 6089/5841 quickly i.e. 28581766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4694/103, 6089/5841 is 28581766.
LCM(4694/103, 6089/5841) = 28581766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4694/103,6089/5841
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 4694,6089
Least Common Multiple of Numerators i.e. LCM of 4694,6089 is 28581766.
GCF of Denominators means GCF of 103,5841 as per the given fractions.
GCF of 103,5841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4694,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 28581766
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 4694,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4694,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4694,6089) x common factors =1 x 1 = 1
LCM(4694,6089) = ( 4694 × 6089 ) / 1
LCM(4694,6089) = 28581766 / 1
LCM(4694,6089) = 28581766
Lets's calculate GCF of 103,5841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28581766/1
Therefore the LCM of Fractions 4694/103,6089/5841 is 28581766
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 5841
List of positive integer factors of 5841 that divides 5841 without a remainder.
1,3,9,11,33,59,99,177,531,649,1947,5841
Greatest Common Factor
We found the factors 103,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 103,5841 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 4694/103, 6089/5841?
Answer: LCM of Numerators as per given numbers 4694/103, 6089/5841 is
LCM of Numerators i.e. for 4694,6089 is 28581766
GCF of denominators i.e. for 103,5841 is 1.
Thus, LCM of Fractions is 28581766.Finally, LCM of Fractions for 4694/103, 6089/5841 is 28581766.