Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8055/93, 7797/327 quickly i.e. 6978315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8055/93, 7797/327 is 6978315.
LCM(8055/93, 7797/327) = 6978315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8055/93,7797/327
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 8055,7797
Least Common Multiple of Numerators i.e. LCM of 8055,7797 is 20934945.
GCF of Denominators means GCF of 93,327 as per the given fractions.
GCF of 93,327 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8055,7797
3 | 8055, 7797 |
2685, 2599 |
∴ So the LCM of the given numbers is 3 x 2685 x 2599 = 20934945
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 8055,7797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8055,7797) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8055,7797) x common factors =3 x 1 = 3
LCM(8055,7797) = ( 8055 × 7797 ) / 3
LCM(8055,7797) = 62804835 / 3
LCM(8055,7797) = 20934945
Lets's calculate GCF of 93,327
3 | 93, 327 |
31, 109 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20934945/3
Therefore the LCM of Fractions 8055/93,7797/327 is 6978315
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 93,327 . The biggest common factor number is the GCF number.
So the greatest common factor 93,327 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 8055/93, 7797/327?
Answer: LCM of Numerators as per given numbers 8055/93, 7797/327 is
LCM of Numerators i.e. for 8055,7797 is 20934945
GCF of denominators i.e. for 93,327 is 3.
Thus, LCM of Fractions is 6978315.Finally, LCM of Fractions for 8055/93, 7797/327 is 6978315.