Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/591, 6466/9678 quickly i.e. 614270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/591, 6466/9678 is 614270.
LCM(285/591, 6466/9678) = 614270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/591,6466/9678
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 285,6466
Least Common Multiple of Numerators i.e. LCM of 285,6466 is 1842810.
GCF of Denominators means GCF of 591,9678 as per the given fractions.
GCF of 591,9678 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,6466
Given numbers has no common factors except 1. So, there LCM is their product i.e 1842810
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 285,6466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,6466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,6466) x common factors =1 x 1 = 1
LCM(285,6466) = ( 285 × 6466 ) / 1
LCM(285,6466) = 1842810 / 1
LCM(285,6466) = 1842810
Lets's calculate GCF of 591,9678
3 | 591, 9678 |
197, 3226 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1842810/3
Therefore the LCM of Fractions 285/591,6466/9678 is 614270
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 9678
List of positive integer factors of 9678 that divides 9678 without a remainder.
1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 591,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 591,9678 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 285/591, 6466/9678?
Answer: LCM of Numerators as per given numbers 285/591, 6466/9678 is
LCM of Numerators i.e. for 285,6466 is 1842810
GCF of denominators i.e. for 591,9678 is 3.
Thus, LCM of Fractions is 614270.Finally, LCM of Fractions for 285/591, 6466/9678 is 614270.