Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8375/811, 4981/4423 quickly i.e. 41715875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8375/811, 4981/4423 is 41715875.
LCM(8375/811, 4981/4423) = 41715875
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8375/811,4981/4423
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 8375,4981
Least Common Multiple of Numerators i.e. LCM of 8375,4981 is 41715875.
GCF of Denominators means GCF of 811,4423 as per the given fractions.
GCF of 811,4423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8375,4981
Given numbers has no common factors except 1. So, there LCM is their product i.e 41715875
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 8375,4981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8375,4981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8375,4981) x common factors =1 x 1 = 1
LCM(8375,4981) = ( 8375 × 4981 ) / 1
LCM(8375,4981) = 41715875 / 1
LCM(8375,4981) = 41715875
Lets's calculate GCF of 811,4423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41715875/1
Therefore the LCM of Fractions 8375/811,4981/4423 is 41715875
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1,4423
Greatest Common Factor
We found the factors 811,4423 . The biggest common factor number is the GCF number.
So the greatest common factor 811,4423 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 8375/811, 4981/4423?
Answer: LCM of Numerators as per given numbers 8375/811, 4981/4423 is
LCM of Numerators i.e. for 8375,4981 is 41715875
GCF of denominators i.e. for 811,4423 is 1.
Thus, LCM of Fractions is 41715875.Finally, LCM of Fractions for 8375/811, 4981/4423 is 41715875.