Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6291/287, 8883/6483 quickly i.e. 2069739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6291/287, 8883/6483 is 2069739.
LCM(6291/287, 8883/6483) = 2069739
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6291/287,8883/6483
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 6291,8883
Least Common Multiple of Numerators i.e. LCM of 6291,8883 is 2069739.
GCF of Denominators means GCF of 287,6483 as per the given fractions.
GCF of 287,6483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6291,8883
3 | 6291, 8883 |
3 | 2097, 2961 |
3 | 699, 987 |
233, 329 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 233 x 329 = 2069739
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 6291,8883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6291,8883) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(6291,8883) x common factors =27 x 1 = 27
LCM(6291,8883) = ( 6291 × 8883 ) / 27
LCM(6291,8883) = 55882953 / 27
LCM(6291,8883) = 2069739
Lets's calculate GCF of 287,6483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2069739/1
Therefore the LCM of Fractions 6291/287,8883/6483 is 2069739
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 6483
List of positive integer factors of 6483 that divides 6483 without a remainder.
1,3,2161,6483
Greatest Common Factor
We found the factors 287,6483 . The biggest common factor number is the GCF number.
So the greatest common factor 287,6483 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 6291/287, 8883/6483?
Answer: LCM of Numerators as per given numbers 6291/287, 8883/6483 is
LCM of Numerators i.e. for 6291,8883 is 2069739
GCF of denominators i.e. for 287,6483 is 1.
Thus, LCM of Fractions is 2069739.Finally, LCM of Fractions for 6291/287, 8883/6483 is 2069739.