Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9039/593, 7464/3252 quickly i.e. 22489032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9039/593, 7464/3252 is 22489032.
LCM(9039/593, 7464/3252) = 22489032
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9039/593,7464/3252
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 9039,7464
Least Common Multiple of Numerators i.e. LCM of 9039,7464 is 22489032.
GCF of Denominators means GCF of 593,3252 as per the given fractions.
GCF of 593,3252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9039,7464
3 | 9039, 7464 |
3013, 2488 |
∴ So the LCM of the given numbers is 3 x 3013 x 2488 = 22489032
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 9039,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9039,7464) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9039,7464) x common factors =3 x 1 = 3
LCM(9039,7464) = ( 9039 × 7464 ) / 3
LCM(9039,7464) = 67467096 / 3
LCM(9039,7464) = 22489032
Lets's calculate GCF of 593,3252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22489032/1
Therefore the LCM of Fractions 9039/593,7464/3252 is 22489032
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 3252
List of positive integer factors of 3252 that divides 3252 without a remainder.
1,2,3,4,6,12,271,542,813,1084,1626,3252
Greatest Common Factor
We found the factors 593,3252 . The biggest common factor number is the GCF number.
So the greatest common factor 593,3252 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 9039/593, 7464/3252?
Answer: LCM of Numerators as per given numbers 9039/593, 7464/3252 is
LCM of Numerators i.e. for 9039,7464 is 22489032
GCF of denominators i.e. for 593,3252 is 1.
Thus, LCM of Fractions is 22489032.Finally, LCM of Fractions for 9039/593, 7464/3252 is 22489032.