Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9039/28, 4546/592 quickly i.e. 41091294/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9039/28, 4546/592 is 41091294/4.
LCM(9039/28, 4546/592) = 41091294/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9039/28,4546/592
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 9039,4546
Least Common Multiple of Numerators i.e. LCM of 9039,4546 is 41091294.
GCF of Denominators means GCF of 28,592 as per the given fractions.
GCF of 28,592 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9039,4546
Given numbers has no common factors except 1. So, there LCM is their product i.e 41091294
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 9039,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9039,4546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9039,4546) x common factors =1 x 1 = 1
LCM(9039,4546) = ( 9039 × 4546 ) / 1
LCM(9039,4546) = 41091294 / 1
LCM(9039,4546) = 41091294
Lets's calculate GCF of 28,592
2 | 28, 592 |
2 | 14, 296 |
7, 148 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41091294/4
Therefore the LCM of Fractions 9039/28,4546/592 is 41091294/4
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 28,592 . The biggest common factor number is the GCF number.
So the greatest common factor 28,592 is 4.
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 9039/28, 4546/592?
Answer: LCM of Numerators as per given numbers 9039/28, 4546/592 is
LCM of Numerators i.e. for 9039,4546 is 41091294
GCF of denominators i.e. for 28,592 is 4.
Thus, LCM of Fractions is 41091294/4.Finally, LCM of Fractions for 9039/28, 4546/592 is 41091294/4.