Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9439/285, 2601/5757 quickly i.e. 24550839/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9439/285, 2601/5757 is 24550839/57.
LCM(9439/285, 2601/5757) = 24550839/57
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9439/285,2601/5757
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 9439,2601
Least Common Multiple of Numerators i.e. LCM of 9439,2601 is 24550839.
GCF of Denominators means GCF of 285,5757 as per the given fractions.
GCF of 285,5757 is 57 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9439,2601
Given numbers has no common factors except 1. So, there LCM is their product i.e 24550839
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 9439,2601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9439,2601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9439,2601) x common factors =1 x 1 = 1
LCM(9439,2601) = ( 9439 × 2601 ) / 1
LCM(9439,2601) = 24550839 / 1
LCM(9439,2601) = 24550839
Lets's calculate GCF of 285,5757
3 | 285, 5757 |
19 | 95, 1919 |
5, 101 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24550839/57
Therefore the LCM of Fractions 9439/285,2601/5757 is 24550839/57
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 285,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 285,5757 is 57.
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 9439/285, 2601/5757?
Answer: LCM of Numerators as per given numbers 9439/285, 2601/5757 is
LCM of Numerators i.e. for 9439,2601 is 24550839
GCF of denominators i.e. for 285,5757 is 57.
Thus, LCM of Fractions is 24550839/57.Finally, LCM of Fractions for 9439/285, 2601/5757 is 24550839/57.