Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 524/87, 191/5132 quickly i.e. 100084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 524/87, 191/5132 is 100084.
LCM(524/87, 191/5132) = 100084
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 524/87,191/5132
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 524,191
Least Common Multiple of Numerators i.e. LCM of 524,191 is 100084.
GCF of Denominators means GCF of 87,5132 as per the given fractions.
GCF of 87,5132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 524,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 100084
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 524,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,191) x common factors =1 x 1 = 1
LCM(524,191) = ( 524 × 191 ) / 1
LCM(524,191) = 100084 / 1
LCM(524,191) = 100084
Lets's calculate GCF of 87,5132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100084/1
Therefore the LCM of Fractions 524/87,191/5132 is 100084
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 5132
List of positive integer factors of 5132 that divides 5132 without a remainder.
1,2,4,1283,2566,5132
Greatest Common Factor
We found the factors 87,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 87,5132 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 524/87, 191/5132?
Answer: LCM of Numerators as per given numbers 524/87, 191/5132 is
LCM of Numerators i.e. for 524,191 is 100084
GCF of denominators i.e. for 87,5132 is 1.
Thus, LCM of Fractions is 100084.Finally, LCM of Fractions for 524/87, 191/5132 is 100084.