Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8339/327, 6994/1097 quickly i.e. 216814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8339/327, 6994/1097 is 216814.
LCM(8339/327, 6994/1097) = 216814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8339/327,6994/1097
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 8339,6994
Least Common Multiple of Numerators i.e. LCM of 8339,6994 is 216814.
GCF of Denominators means GCF of 327,1097 as per the given fractions.
GCF of 327,1097 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8339,6994
269 | 8339, 6994 |
31, 26 |
∴ So the LCM of the given numbers is 269 x 31 x 26 = 216814
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 8339,6994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8339,6994) = 269
common factors(in case of two or more numbers have common factors) = 1
GCF(8339,6994) x common factors =269 x 1 = 269
LCM(8339,6994) = ( 8339 × 6994 ) / 269
LCM(8339,6994) = 58322966 / 269
LCM(8339,6994) = 216814
Lets's calculate GCF of 327,1097
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216814/1
Therefore the LCM of Fractions 8339/327,6994/1097 is 216814
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 1097
List of positive integer factors of 1097 that divides 1097 without a remainder.
1,1097
Greatest Common Factor
We found the factors 327,1097 . The biggest common factor number is the GCF number.
So the greatest common factor 327,1097 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 8339/327, 6994/1097?
Answer: LCM of Numerators as per given numbers 8339/327, 6994/1097 is
LCM of Numerators i.e. for 8339,6994 is 216814
GCF of denominators i.e. for 327,1097 is 1.
Thus, LCM of Fractions is 216814.Finally, LCM of Fractions for 8339/327, 6994/1097 is 216814.