Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9078/198, 3191/5653 quickly i.e. 28967898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9078/198, 3191/5653 is 28967898.
LCM(9078/198, 3191/5653) = 28967898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9078/198,3191/5653
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 9078,3191
Least Common Multiple of Numerators i.e. LCM of 9078,3191 is 28967898.
GCF of Denominators means GCF of 198,5653 as per the given fractions.
GCF of 198,5653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9078,3191
Given numbers has no common factors except 1. So, there LCM is their product i.e 28967898
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 9078,3191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9078,3191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9078,3191) x common factors =1 x 1 = 1
LCM(9078,3191) = ( 9078 × 3191 ) / 1
LCM(9078,3191) = 28967898 / 1
LCM(9078,3191) = 28967898
Lets's calculate GCF of 198,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28967898/1
Therefore the LCM of Fractions 9078/198,3191/5653 is 28967898
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 5653
List of positive integer factors of 5653 that divides 5653 without a remainder.
1,5653
Greatest Common Factor
We found the factors 198,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 198,5653 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 9078/198, 3191/5653?
Answer: LCM of Numerators as per given numbers 9078/198, 3191/5653 is
LCM of Numerators i.e. for 9078,3191 is 28967898
GCF of denominators i.e. for 198,5653 is 1.
Thus, LCM of Fractions is 28967898.Finally, LCM of Fractions for 9078/198, 3191/5653 is 28967898.