Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/191, 6061/8158 quickly i.e. 563673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/191, 6061/8158 is 563673.
LCM(93/191, 6061/8158) = 563673
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/191,6061/8158
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 93,6061
Least Common Multiple of Numerators i.e. LCM of 93,6061 is 563673.
GCF of Denominators means GCF of 191,8158 as per the given fractions.
GCF of 191,8158 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,6061
Given numbers has no common factors except 1. So, there LCM is their product i.e 563673
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 93,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,6061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,6061) x common factors =1 x 1 = 1
LCM(93,6061) = ( 93 × 6061 ) / 1
LCM(93,6061) = 563673 / 1
LCM(93,6061) = 563673
Lets's calculate GCF of 191,8158
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 563673/1
Therefore the LCM of Fractions 93/191,6061/8158 is 563673
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 8158
List of positive integer factors of 8158 that divides 8158 without a remainder.
1,2,4079,8158
Greatest Common Factor
We found the factors 191,8158 . The biggest common factor number is the GCF number.
So the greatest common factor 191,8158 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 93/191, 6061/8158?
Answer: LCM of Numerators as per given numbers 93/191, 6061/8158 is
LCM of Numerators i.e. for 93,6061 is 563673
GCF of denominators i.e. for 191,8158 is 1.
Thus, LCM of Fractions is 563673.Finally, LCM of Fractions for 93/191, 6061/8158 is 563673.