Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9322/794, 7231/8341 quickly i.e. 67407382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9322/794, 7231/8341 is 67407382.
LCM(9322/794, 7231/8341) = 67407382
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9322/794,7231/8341
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 9322,7231
Least Common Multiple of Numerators i.e. LCM of 9322,7231 is 67407382.
GCF of Denominators means GCF of 794,8341 as per the given fractions.
GCF of 794,8341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9322,7231
Given numbers has no common factors except 1. So, there LCM is their product i.e 67407382
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 9322,7231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9322,7231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9322,7231) x common factors =1 x 1 = 1
LCM(9322,7231) = ( 9322 × 7231 ) / 1
LCM(9322,7231) = 67407382 / 1
LCM(9322,7231) = 67407382
Lets's calculate GCF of 794,8341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67407382/1
Therefore the LCM of Fractions 9322/794,7231/8341 is 67407382
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 8341
List of positive integer factors of 8341 that divides 8341 without a remainder.
1,19,439,8341
Greatest Common Factor
We found the factors 794,8341 . The biggest common factor number is the GCF number.
So the greatest common factor 794,8341 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 9322/794, 7231/8341?
Answer: LCM of Numerators as per given numbers 9322/794, 7231/8341 is
LCM of Numerators i.e. for 9322,7231 is 67407382
GCF of denominators i.e. for 794,8341 is 1.
Thus, LCM of Fractions is 67407382.Finally, LCM of Fractions for 9322/794, 7231/8341 is 67407382.