Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9017/713, 1405/9089 quickly i.e. 12668885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9017/713, 1405/9089 is 12668885.
LCM(9017/713, 1405/9089) = 12668885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9017/713,1405/9089
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 9017,1405
Least Common Multiple of Numerators i.e. LCM of 9017,1405 is 12668885.
GCF of Denominators means GCF of 713,9089 as per the given fractions.
GCF of 713,9089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9017,1405
Given numbers has no common factors except 1. So, there LCM is their product i.e 12668885
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 9017,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9017,1405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9017,1405) x common factors =1 x 1 = 1
LCM(9017,1405) = ( 9017 × 1405 ) / 1
LCM(9017,1405) = 12668885 / 1
LCM(9017,1405) = 12668885
Lets's calculate GCF of 713,9089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12668885/1
Therefore the LCM of Fractions 9017/713,1405/9089 is 12668885
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 9089
List of positive integer factors of 9089 that divides 9089 without a remainder.
1,61,149,9089
Greatest Common Factor
We found the factors 713,9089 . The biggest common factor number is the GCF number.
So the greatest common factor 713,9089 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 9017/713, 1405/9089?
Answer: LCM of Numerators as per given numbers 9017/713, 1405/9089 is
LCM of Numerators i.e. for 9017,1405 is 12668885
GCF of denominators i.e. for 713,9089 is 1.
Thus, LCM of Fractions is 12668885.Finally, LCM of Fractions for 9017/713, 1405/9089 is 12668885.