Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9404/965, 9645/5750 quickly i.e. 18140316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9404/965, 9645/5750 is 18140316.
LCM(9404/965, 9645/5750) = 18140316
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9404/965,9645/5750
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 9404,9645
Least Common Multiple of Numerators i.e. LCM of 9404,9645 is 90701580.
GCF of Denominators means GCF of 965,5750 as per the given fractions.
GCF of 965,5750 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9404,9645
Given numbers has no common factors except 1. So, there LCM is their product i.e 90701580
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 9404,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9404,9645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9404,9645) x common factors =1 x 1 = 1
LCM(9404,9645) = ( 9404 × 9645 ) / 1
LCM(9404,9645) = 90701580 / 1
LCM(9404,9645) = 90701580
Lets's calculate GCF of 965,5750
5 | 965, 5750 |
193, 1150 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90701580/5
Therefore the LCM of Fractions 9404/965,9645/5750 is 18140316
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 5750
List of positive integer factors of 5750 that divides 5750 without a remainder.
1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 965,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 965,5750 is 5.
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 9404/965, 9645/5750?
Answer: LCM of Numerators as per given numbers 9404/965, 9645/5750 is
LCM of Numerators i.e. for 9404,9645 is 90701580
GCF of denominators i.e. for 965,5750 is 5.
Thus, LCM of Fractions is 18140316.Finally, LCM of Fractions for 9404/965, 9645/5750 is 18140316.