Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/12, 393/9017 quickly i.e. 63273 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/12, 393/9017 is 63273.
LCM(483/12, 393/9017) = 63273
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/12,393/9017
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 483,393
Least Common Multiple of Numerators i.e. LCM of 483,393 is 63273.
GCF of Denominators means GCF of 12,9017 as per the given fractions.
GCF of 12,9017 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,393
3 | 483, 393 |
161, 131 |
∴ So the LCM of the given numbers is 3 x 161 x 131 = 63273
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 483,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,393) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,393) x common factors =3 x 1 = 3
LCM(483,393) = ( 483 × 393 ) / 3
LCM(483,393) = 189819 / 3
LCM(483,393) = 63273
Lets's calculate GCF of 12,9017
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63273/1
Therefore the LCM of Fractions 483/12,393/9017 is 63273
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 9017
List of positive integer factors of 9017 that divides 9017 without a remainder.
1,71,127,9017
Greatest Common Factor
We found the factors 12,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 12,9017 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 483/12, 393/9017?
Answer: LCM of Numerators as per given numbers 483/12, 393/9017 is
LCM of Numerators i.e. for 483,393 is 63273
GCF of denominators i.e. for 12,9017 is 1.
Thus, LCM of Fractions is 63273.Finally, LCM of Fractions for 483/12, 393/9017 is 63273.