Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9996/363, 1689/261 quickly i.e. 1875916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9996/363, 1689/261 is 1875916.
LCM(9996/363, 1689/261) = 1875916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9996/363,1689/261
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 9996,1689
Least Common Multiple of Numerators i.e. LCM of 9996,1689 is 5627748.
GCF of Denominators means GCF of 363,261 as per the given fractions.
GCF of 363,261 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9996,1689
3 | 9996, 1689 |
3332, 563 |
∴ So the LCM of the given numbers is 3 x 3332 x 563 = 5627748
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 9996,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9996,1689) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9996,1689) x common factors =3 x 1 = 3
LCM(9996,1689) = ( 9996 × 1689 ) / 3
LCM(9996,1689) = 16883244 / 3
LCM(9996,1689) = 5627748
Lets's calculate GCF of 363,261
3 | 363, 261 |
121, 87 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5627748/3
Therefore the LCM of Fractions 9996/363,1689/261 is 1875916
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 363,261 . The biggest common factor number is the GCF number.
So the greatest common factor 363,261 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 9996/363, 1689/261?
Answer: LCM of Numerators as per given numbers 9996/363, 1689/261 is
LCM of Numerators i.e. for 9996,1689 is 5627748
GCF of denominators i.e. for 363,261 is 3.
Thus, LCM of Fractions is 1875916.Finally, LCM of Fractions for 9996/363, 1689/261 is 1875916.