Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/66, 191/7375 quickly i.e. 92826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/66, 191/7375 is 92826.
LCM(486/66, 191/7375) = 92826
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/66,191/7375
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 486,191
Least Common Multiple of Numerators i.e. LCM of 486,191 is 92826.
GCF of Denominators means GCF of 66,7375 as per the given fractions.
GCF of 66,7375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 92826
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 486,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,191) x common factors =1 x 1 = 1
LCM(486,191) = ( 486 × 191 ) / 1
LCM(486,191) = 92826 / 1
LCM(486,191) = 92826
Lets's calculate GCF of 66,7375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92826/1
Therefore the LCM of Fractions 486/66,191/7375 is 92826
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 7375
List of positive integer factors of 7375 that divides 7375 without a remainder.
1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors 66,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7375 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 486/66, 191/7375?
Answer: LCM of Numerators as per given numbers 486/66, 191/7375 is
LCM of Numerators i.e. for 486,191 is 92826
GCF of denominators i.e. for 66,7375 is 1.
Thus, LCM of Fractions is 92826.Finally, LCM of Fractions for 486/66, 191/7375 is 92826.