Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/396, 863/287, 458/186 quickly i.e. 11462366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/396, 863/287, 458/186 is 11462366.
LCM(29/396, 863/287, 458/186) = 11462366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/396,863/287,458/186
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 29,863,458
Least Common Multiple of Numerators i.e. LCM of 29,863,458 is 11462366.
GCF of Denominators means GCF of 396,287,186 as per the given fractions.
GCF of 396,287,186 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,863,458
Given numbers has no common factors except 1. So, there LCM is their product i.e 11462366
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 29,863,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,863,458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,863,458) x common factors =1 x 1 = 1
LCM(29,863,458) = ( 29 × 863 × 458 ) / 1
LCM(29,863,458) = 11462366 / 1
LCM(29,863,458) = 11462366
Lets's calculate GCF of 396,287,186
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11462366/1
Therefore the LCM of Fractions 29/396,863/287,458/186 is 11462366
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 396,287,186 . The biggest common factor number is the GCF number.
So the greatest common factor 396,287,186 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 29/396, 863/287, 458/186?
Answer: LCM of Numerators as per given numbers 29/396, 863/287, 458/186 is
LCM of Numerators i.e. for 29,863,458 is 11462366
GCF of denominators i.e. for 396,287,186 is 1.
Thus, LCM of Fractions is 11462366.Finally, LCM of Fractions for 29/396, 863/287, 458/186 is 11462366.