Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/128, 6704/9303 quickly i.e. 2192208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/128, 6704/9303 is 2192208.
LCM(327/128, 6704/9303) = 2192208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/128,6704/9303
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 327,6704
Least Common Multiple of Numerators i.e. LCM of 327,6704 is 2192208.
GCF of Denominators means GCF of 128,9303 as per the given fractions.
GCF of 128,9303 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,6704
Given numbers has no common factors except 1. So, there LCM is their product i.e 2192208
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 327,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,6704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,6704) x common factors =1 x 1 = 1
LCM(327,6704) = ( 327 × 6704 ) / 1
LCM(327,6704) = 2192208 / 1
LCM(327,6704) = 2192208
Lets's calculate GCF of 128,9303
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2192208/1
Therefore the LCM of Fractions 327/128,6704/9303 is 2192208
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 9303
List of positive integer factors of 9303 that divides 9303 without a remainder.
1,3,7,21,443,1329,3101,9303
Greatest Common Factor
We found the factors 128,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 128,9303 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 327/128, 6704/9303?
Answer: LCM of Numerators as per given numbers 327/128, 6704/9303 is
LCM of Numerators i.e. for 327,6704 is 2192208
GCF of denominators i.e. for 128,9303 is 1.
Thus, LCM of Fractions is 2192208.Finally, LCM of Fractions for 327/128, 6704/9303 is 2192208.