Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6632/369, 5882/9065 quickly i.e. 19504712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6632/369, 5882/9065 is 19504712.
LCM(6632/369, 5882/9065) = 19504712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6632/369,5882/9065
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 6632,5882
Least Common Multiple of Numerators i.e. LCM of 6632,5882 is 19504712.
GCF of Denominators means GCF of 369,9065 as per the given fractions.
GCF of 369,9065 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6632,5882
2 | 6632, 5882 |
3316, 2941 |
∴ So the LCM of the given numbers is 2 x 3316 x 2941 = 19504712
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 6632,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6632,5882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6632,5882) x common factors =2 x 1 = 2
LCM(6632,5882) = ( 6632 × 5882 ) / 2
LCM(6632,5882) = 39009424 / 2
LCM(6632,5882) = 19504712
Lets's calculate GCF of 369,9065
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19504712/1
Therefore the LCM of Fractions 6632/369,5882/9065 is 19504712
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 9065
List of positive integer factors of 9065 that divides 9065 without a remainder.
1,5,7,35,37,49,185,245,259,1295,1813,9065
Greatest Common Factor
We found the factors 369,9065 . The biggest common factor number is the GCF number.
So the greatest common factor 369,9065 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 6632/369, 5882/9065?
Answer: LCM of Numerators as per given numbers 6632/369, 5882/9065 is
LCM of Numerators i.e. for 6632,5882 is 19504712
GCF of denominators i.e. for 369,9065 is 1.
Thus, LCM of Fractions is 19504712.Finally, LCM of Fractions for 6632/369, 5882/9065 is 19504712.