Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8883/821, 6941/5823 quickly i.e. 61656903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8883/821, 6941/5823 is 61656903.
LCM(8883/821, 6941/5823) = 61656903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8883/821,6941/5823
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 8883,6941
Least Common Multiple of Numerators i.e. LCM of 8883,6941 is 61656903.
GCF of Denominators means GCF of 821,5823 as per the given fractions.
GCF of 821,5823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8883,6941
Given numbers has no common factors except 1. So, there LCM is their product i.e 61656903
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 8883,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8883,6941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8883,6941) x common factors =1 x 1 = 1
LCM(8883,6941) = ( 8883 × 6941 ) / 1
LCM(8883,6941) = 61656903 / 1
LCM(8883,6941) = 61656903
Lets's calculate GCF of 821,5823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61656903/1
Therefore the LCM of Fractions 8883/821,6941/5823 is 61656903
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 5823
List of positive integer factors of 5823 that divides 5823 without a remainder.
1,3,9,647,1941,5823
Greatest Common Factor
We found the factors 821,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 821,5823 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 8883/821, 6941/5823?
Answer: LCM of Numerators as per given numbers 8883/821, 6941/5823 is
LCM of Numerators i.e. for 8883,6941 is 61656903
GCF of denominators i.e. for 821,5823 is 1.
Thus, LCM of Fractions is 61656903.Finally, LCM of Fractions for 8883/821, 6941/5823 is 61656903.