Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8347/718, 7583/831 quickly i.e. 63295301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8347/718, 7583/831 is 63295301.
LCM(8347/718, 7583/831) = 63295301
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8347/718,7583/831
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 8347,7583
Least Common Multiple of Numerators i.e. LCM of 8347,7583 is 63295301.
GCF of Denominators means GCF of 718,831 as per the given fractions.
GCF of 718,831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8347,7583
Given numbers has no common factors except 1. So, there LCM is their product i.e 63295301
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 8347,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8347,7583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8347,7583) x common factors =1 x 1 = 1
LCM(8347,7583) = ( 8347 × 7583 ) / 1
LCM(8347,7583) = 63295301 / 1
LCM(8347,7583) = 63295301
Lets's calculate GCF of 718,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63295301/1
Therefore the LCM of Fractions 8347/718,7583/831 is 63295301
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 718,831 . The biggest common factor number is the GCF number.
So the greatest common factor 718,831 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 8347/718, 7583/831?
Answer: LCM of Numerators as per given numbers 8347/718, 7583/831 is
LCM of Numerators i.e. for 8347,7583 is 63295301
GCF of denominators i.e. for 718,831 is 1.
Thus, LCM of Fractions is 63295301.Finally, LCM of Fractions for 8347/718, 7583/831 is 63295301.