Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8397/891, 8045/483 quickly i.e. 22517955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8397/891, 8045/483 is 22517955.
LCM(8397/891, 8045/483) = 22517955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8397/891,8045/483
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 8397,8045
Least Common Multiple of Numerators i.e. LCM of 8397,8045 is 67553865.
GCF of Denominators means GCF of 891,483 as per the given fractions.
GCF of 891,483 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8397,8045
Given numbers has no common factors except 1. So, there LCM is their product i.e 67553865
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 8397,8045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8397,8045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8397,8045) x common factors =1 x 1 = 1
LCM(8397,8045) = ( 8397 × 8045 ) / 1
LCM(8397,8045) = 67553865 / 1
LCM(8397,8045) = 67553865
Lets's calculate GCF of 891,483
3 | 891, 483 |
297, 161 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67553865/3
Therefore the LCM of Fractions 8397/891,8045/483 is 22517955
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 891,483 . The biggest common factor number is the GCF number.
So the greatest common factor 891,483 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 8397/891, 8045/483?
Answer: LCM of Numerators as per given numbers 8397/891, 8045/483 is
LCM of Numerators i.e. for 8397,8045 is 67553865
GCF of denominators i.e. for 891,483 is 3.
Thus, LCM of Fractions is 22517955.Finally, LCM of Fractions for 8397/891, 8045/483 is 22517955.