Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8909/451, 1307/4115 quickly i.e. 11644063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8909/451, 1307/4115 is 11644063.
LCM(8909/451, 1307/4115) = 11644063
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8909/451,1307/4115
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 8909,1307
Least Common Multiple of Numerators i.e. LCM of 8909,1307 is 11644063.
GCF of Denominators means GCF of 451,4115 as per the given fractions.
GCF of 451,4115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8909,1307
Given numbers has no common factors except 1. So, there LCM is their product i.e 11644063
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 8909,1307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8909,1307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8909,1307) x common factors =1 x 1 = 1
LCM(8909,1307) = ( 8909 × 1307 ) / 1
LCM(8909,1307) = 11644063 / 1
LCM(8909,1307) = 11644063
Lets's calculate GCF of 451,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11644063/1
Therefore the LCM of Fractions 8909/451,1307/4115 is 11644063
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 4115
List of positive integer factors of 4115 that divides 4115 without a remainder.
1,5,823,4115
Greatest Common Factor
We found the factors 451,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 451,4115 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 8909/451, 1307/4115?
Answer: LCM of Numerators as per given numbers 8909/451, 1307/4115 is
LCM of Numerators i.e. for 8909,1307 is 11644063
GCF of denominators i.e. for 451,4115 is 1.
Thus, LCM of Fractions is 11644063.Finally, LCM of Fractions for 8909/451, 1307/4115 is 11644063.