Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/41, 815/46, 198/204 quickly i.e. 322740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/41, 815/46, 198/204 is 322740.
LCM(12/41, 815/46, 198/204) = 322740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/41,815/46,198/204
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 12,815,198
Least Common Multiple of Numerators i.e. LCM of 12,815,198 is 322740.
GCF of Denominators means GCF of 41,46,204 as per the given fractions.
GCF of 41,46,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,815,198
2 | 12, 815, 198 |
3 | 6, 815, 99 |
2, 815, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 815 x 33 = 322740
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 12,815,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,815,198) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,815,198) x common factors =1 x 6 = 6
LCM(12,815,198) = ( 12 × 815 × 198 ) / 6
LCM(12,815,198) = 1936440 / 6
LCM(12,815,198) = 322740
Lets's calculate GCF of 41,46,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322740/1
Therefore the LCM of Fractions 12/41,815/46,198/204 is 322740
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 41,46,204 . The biggest common factor number is the GCF number.
So the greatest common factor 41,46,204 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 12/41, 815/46, 198/204?
Answer: LCM of Numerators as per given numbers 12/41, 815/46, 198/204 is
LCM of Numerators i.e. for 12,815,198 is 322740
GCF of denominators i.e. for 41,46,204 is 1.
Thus, LCM of Fractions is 322740.Finally, LCM of Fractions for 12/41, 815/46, 198/204 is 322740.