Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 822/885, 9383/6291 quickly i.e. 2570942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 822/885, 9383/6291 is 2570942.
LCM(822/885, 9383/6291) = 2570942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 822/885,9383/6291
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 822,9383
Least Common Multiple of Numerators i.e. LCM of 822,9383 is 7712826.
GCF of Denominators means GCF of 885,6291 as per the given fractions.
GCF of 885,6291 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 822,9383
Given numbers has no common factors except 1. So, there LCM is their product i.e 7712826
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 822,9383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,9383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,9383) x common factors =1 x 1 = 1
LCM(822,9383) = ( 822 × 9383 ) / 1
LCM(822,9383) = 7712826 / 1
LCM(822,9383) = 7712826
Lets's calculate GCF of 885,6291
3 | 885, 6291 |
295, 2097 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7712826/3
Therefore the LCM of Fractions 822/885,9383/6291 is 2570942
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 6291
List of positive integer factors of 6291 that divides 6291 without a remainder.
1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 885,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 885,6291 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 822/885, 9383/6291?
Answer: LCM of Numerators as per given numbers 822/885, 9383/6291 is
LCM of Numerators i.e. for 822,9383 is 7712826
GCF of denominators i.e. for 885,6291 is 3.
Thus, LCM of Fractions is 2570942.Finally, LCM of Fractions for 822/885, 9383/6291 is 2570942.