Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9208/101, 8081/522 quickly i.e. 74409848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9208/101, 8081/522 is 74409848.
LCM(9208/101, 8081/522) = 74409848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9208/101,8081/522
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 9208,8081
Least Common Multiple of Numerators i.e. LCM of 9208,8081 is 74409848.
GCF of Denominators means GCF of 101,522 as per the given fractions.
GCF of 101,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9208,8081
Given numbers has no common factors except 1. So, there LCM is their product i.e 74409848
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 9208,8081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9208,8081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9208,8081) x common factors =1 x 1 = 1
LCM(9208,8081) = ( 9208 × 8081 ) / 1
LCM(9208,8081) = 74409848 / 1
LCM(9208,8081) = 74409848
Lets's calculate GCF of 101,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74409848/1
Therefore the LCM of Fractions 9208/101,8081/522 is 74409848
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 101,522 . The biggest common factor number is the GCF number.
So the greatest common factor 101,522 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 9208/101, 8081/522?
Answer: LCM of Numerators as per given numbers 9208/101, 8081/522 is
LCM of Numerators i.e. for 9208,8081 is 74409848
GCF of denominators i.e. for 101,522 is 1.
Thus, LCM of Fractions is 74409848.Finally, LCM of Fractions for 9208/101, 8081/522 is 74409848.