Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8043/115, 3329/3689 quickly i.e. 26775147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8043/115, 3329/3689 is 26775147.
LCM(8043/115, 3329/3689) = 26775147
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8043/115,3329/3689
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 8043,3329
Least Common Multiple of Numerators i.e. LCM of 8043,3329 is 26775147.
GCF of Denominators means GCF of 115,3689 as per the given fractions.
GCF of 115,3689 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8043,3329
Given numbers has no common factors except 1. So, there LCM is their product i.e 26775147
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 8043,3329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8043,3329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8043,3329) x common factors =1 x 1 = 1
LCM(8043,3329) = ( 8043 × 3329 ) / 1
LCM(8043,3329) = 26775147 / 1
LCM(8043,3329) = 26775147
Lets's calculate GCF of 115,3689
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26775147/1
Therefore the LCM of Fractions 8043/115,3329/3689 is 26775147
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 3689
List of positive integer factors of 3689 that divides 3689 without a remainder.
1,7,17,31,119,217,527,3689
Greatest Common Factor
We found the factors 115,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 115,3689 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 8043/115, 3329/3689?
Answer: LCM of Numerators as per given numbers 8043/115, 3329/3689 is
LCM of Numerators i.e. for 8043,3329 is 26775147
GCF of denominators i.e. for 115,3689 is 1.
Thus, LCM of Fractions is 26775147.Finally, LCM of Fractions for 8043/115, 3329/3689 is 26775147.