Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/864, 3889/325 quickly i.e. 3367874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/864, 3889/325 is 3367874.
LCM(866/864, 3889/325) = 3367874
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/864,3889/325
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 866,3889
Least Common Multiple of Numerators i.e. LCM of 866,3889 is 3367874.
GCF of Denominators means GCF of 864,325 as per the given fractions.
GCF of 864,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,3889
Given numbers has no common factors except 1. So, there LCM is their product i.e 3367874
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 866,3889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,3889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,3889) x common factors =1 x 1 = 1
LCM(866,3889) = ( 866 × 3889 ) / 1
LCM(866,3889) = 3367874 / 1
LCM(866,3889) = 3367874
Lets's calculate GCF of 864,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3367874/1
Therefore the LCM of Fractions 866/864,3889/325 is 3367874
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 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 864,325 . The biggest common factor number is the GCF number.
So the greatest common factor 864,325 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 866/864, 3889/325?
Answer: LCM of Numerators as per given numbers 866/864, 3889/325 is
LCM of Numerators i.e. for 866,3889 is 3367874
GCF of denominators i.e. for 864,325 is 1.
Thus, LCM of Fractions is 3367874.Finally, LCM of Fractions for 866/864, 3889/325 is 3367874.