Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8302/593, 9868/2315 quickly i.e. 40962068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8302/593, 9868/2315 is 40962068.
LCM(8302/593, 9868/2315) = 40962068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8302/593,9868/2315
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 8302,9868
Least Common Multiple of Numerators i.e. LCM of 8302,9868 is 40962068.
GCF of Denominators means GCF of 593,2315 as per the given fractions.
GCF of 593,2315 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8302,9868
2 | 8302, 9868 |
4151, 4934 |
∴ So the LCM of the given numbers is 2 x 4151 x 4934 = 40962068
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 8302,9868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8302,9868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8302,9868) x common factors =2 x 1 = 2
LCM(8302,9868) = ( 8302 × 9868 ) / 2
LCM(8302,9868) = 81924136 / 2
LCM(8302,9868) = 40962068
Lets's calculate GCF of 593,2315
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40962068/1
Therefore the LCM of Fractions 8302/593,9868/2315 is 40962068
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 2315
List of positive integer factors of 2315 that divides 2315 without a remainder.
1,5,463,2315
Greatest Common Factor
We found the factors 593,2315 . The biggest common factor number is the GCF number.
So the greatest common factor 593,2315 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 8302/593, 9868/2315?
Answer: LCM of Numerators as per given numbers 8302/593, 9868/2315 is
LCM of Numerators i.e. for 8302,9868 is 40962068
GCF of denominators i.e. for 593,2315 is 1.
Thus, LCM of Fractions is 40962068.Finally, LCM of Fractions for 8302/593, 9868/2315 is 40962068.