Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9078/193, 6293/5555 quickly i.e. 57127854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9078/193, 6293/5555 is 57127854.
LCM(9078/193, 6293/5555) = 57127854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9078/193,6293/5555
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 9078,6293
Least Common Multiple of Numerators i.e. LCM of 9078,6293 is 57127854.
GCF of Denominators means GCF of 193,5555 as per the given fractions.
GCF of 193,5555 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9078,6293
Given numbers has no common factors except 1. So, there LCM is their product i.e 57127854
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 9078,6293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9078,6293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9078,6293) x common factors =1 x 1 = 1
LCM(9078,6293) = ( 9078 × 6293 ) / 1
LCM(9078,6293) = 57127854 / 1
LCM(9078,6293) = 57127854
Lets's calculate GCF of 193,5555
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57127854/1
Therefore the LCM of Fractions 9078/193,6293/5555 is 57127854
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 5555
List of positive integer factors of 5555 that divides 5555 without a remainder.
1,5,11,55,101,505,1111,5555
Greatest Common Factor
We found the factors 193,5555 . The biggest common factor number is the GCF number.
So the greatest common factor 193,5555 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 9078/193, 6293/5555?
Answer: LCM of Numerators as per given numbers 9078/193, 6293/5555 is
LCM of Numerators i.e. for 9078,6293 is 57127854
GCF of denominators i.e. for 193,5555 is 1.
Thus, LCM of Fractions is 57127854.Finally, LCM of Fractions for 9078/193, 6293/5555 is 57127854.