Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9677/323, 3998/5308 quickly i.e. 38688646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9677/323, 3998/5308 is 38688646.
LCM(9677/323, 3998/5308) = 38688646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9677/323,3998/5308
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 9677,3998
Least Common Multiple of Numerators i.e. LCM of 9677,3998 is 38688646.
GCF of Denominators means GCF of 323,5308 as per the given fractions.
GCF of 323,5308 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9677,3998
Given numbers has no common factors except 1. So, there LCM is their product i.e 38688646
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 9677,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9677,3998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9677,3998) x common factors =1 x 1 = 1
LCM(9677,3998) = ( 9677 × 3998 ) / 1
LCM(9677,3998) = 38688646 / 1
LCM(9677,3998) = 38688646
Lets's calculate GCF of 323,5308
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38688646/1
Therefore the LCM of Fractions 9677/323,3998/5308 is 38688646
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 5308
List of positive integer factors of 5308 that divides 5308 without a remainder.
1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 323,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 323,5308 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 9677/323, 3998/5308?
Answer: LCM of Numerators as per given numbers 9677/323, 3998/5308 is
LCM of Numerators i.e. for 9677,3998 is 38688646
GCF of denominators i.e. for 323,5308 is 1.
Thus, LCM of Fractions is 38688646.Finally, LCM of Fractions for 9677/323, 3998/5308 is 38688646.