Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 987/864, 8096/183 quickly i.e. 2663584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 987/864, 8096/183 is 2663584.
LCM(987/864, 8096/183) = 2663584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 987/864,8096/183
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 987,8096
Least Common Multiple of Numerators i.e. LCM of 987,8096 is 7990752.
GCF of Denominators means GCF of 864,183 as per the given fractions.
GCF of 864,183 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 987,8096
Given numbers has no common factors except 1. So, there LCM is their product i.e 7990752
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 987,8096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,8096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,8096) x common factors =1 x 1 = 1
LCM(987,8096) = ( 987 × 8096 ) / 1
LCM(987,8096) = 7990752 / 1
LCM(987,8096) = 7990752
Lets's calculate GCF of 864,183
3 | 864, 183 |
288, 61 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7990752/3
Therefore the LCM of Fractions 987/864,8096/183 is 2663584
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 864,183 . The biggest common factor number is the GCF number.
So the greatest common factor 864,183 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 987/864, 8096/183?
Answer: LCM of Numerators as per given numbers 987/864, 8096/183 is
LCM of Numerators i.e. for 987,8096 is 7990752
GCF of denominators i.e. for 864,183 is 3.
Thus, LCM of Fractions is 2663584.Finally, LCM of Fractions for 987/864, 8096/183 is 2663584.