Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9064/861, 3990/9036 quickly i.e. 6027560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9064/861, 3990/9036 is 6027560.
LCM(9064/861, 3990/9036) = 6027560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9064/861,3990/9036
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 9064,3990
Least Common Multiple of Numerators i.e. LCM of 9064,3990 is 18082680.
GCF of Denominators means GCF of 861,9036 as per the given fractions.
GCF of 861,9036 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9064,3990
2 | 9064, 3990 |
4532, 1995 |
∴ So the LCM of the given numbers is 2 x 4532 x 1995 = 18082680
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 9064,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9064,3990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9064,3990) x common factors =2 x 1 = 2
LCM(9064,3990) = ( 9064 × 3990 ) / 2
LCM(9064,3990) = 36165360 / 2
LCM(9064,3990) = 18082680
Lets's calculate GCF of 861,9036
3 | 861, 9036 |
287, 3012 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18082680/3
Therefore the LCM of Fractions 9064/861,3990/9036 is 6027560
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 9036
List of positive integer factors of 9036 that divides 9036 without a remainder.
1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Greatest Common Factor
We found the factors 861,9036 . The biggest common factor number is the GCF number.
So the greatest common factor 861,9036 is 3.
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 9064/861, 3990/9036?
Answer: LCM of Numerators as per given numbers 9064/861, 3990/9036 is
LCM of Numerators i.e. for 9064,3990 is 18082680
GCF of denominators i.e. for 861,9036 is 3.
Thus, LCM of Fractions is 6027560.Finally, LCM of Fractions for 9064/861, 3990/9036 is 6027560.