Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9905/107, 4719/5241 quickly i.e. 46741695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9905/107, 4719/5241 is 46741695.
LCM(9905/107, 4719/5241) = 46741695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9905/107,4719/5241
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 9905,4719
Least Common Multiple of Numerators i.e. LCM of 9905,4719 is 46741695.
GCF of Denominators means GCF of 107,5241 as per the given fractions.
GCF of 107,5241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9905,4719
Given numbers has no common factors except 1. So, there LCM is their product i.e 46741695
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 9905,4719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9905,4719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9905,4719) x common factors =1 x 1 = 1
LCM(9905,4719) = ( 9905 × 4719 ) / 1
LCM(9905,4719) = 46741695 / 1
LCM(9905,4719) = 46741695
Lets's calculate GCF of 107,5241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46741695/1
Therefore the LCM of Fractions 9905/107,4719/5241 is 46741695
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 5241
List of positive integer factors of 5241 that divides 5241 without a remainder.
1,3,1747,5241
Greatest Common Factor
We found the factors 107,5241 . The biggest common factor number is the GCF number.
So the greatest common factor 107,5241 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 9905/107, 4719/5241?
Answer: LCM of Numerators as per given numbers 9905/107, 4719/5241 is
LCM of Numerators i.e. for 9905,4719 is 46741695
GCF of denominators i.e. for 107,5241 is 1.
Thus, LCM of Fractions is 46741695.Finally, LCM of Fractions for 9905/107, 4719/5241 is 46741695.