Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/41, 31/12, 466/45 quickly i.e. 130014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/41, 31/12, 466/45 is 130014.
LCM(9/41, 31/12, 466/45) = 130014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/41,31/12,466/45
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 9,31,466
Least Common Multiple of Numerators i.e. LCM of 9,31,466 is 130014.
GCF of Denominators means GCF of 41,12,45 as per the given fractions.
GCF of 41,12,45 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,31,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 130014
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 9,31,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,31,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,31,466) x common factors =1 x 1 = 1
LCM(9,31,466) = ( 9 × 31 × 466 ) / 1
LCM(9,31,466) = 130014 / 1
LCM(9,31,466) = 130014
Lets's calculate GCF of 41,12,45
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130014/1
Therefore the LCM of Fractions 9/41,31/12,466/45 is 130014
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 41,12,45 . The biggest common factor number is the GCF number.
So the greatest common factor 41,12,45 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 9/41, 31/12, 466/45?
Answer: LCM of Numerators as per given numbers 9/41, 31/12, 466/45 is
LCM of Numerators i.e. for 9,31,466 is 130014
GCF of denominators i.e. for 41,12,45 is 1.
Thus, LCM of Fractions is 130014.Finally, LCM of Fractions for 9/41, 31/12, 466/45 is 130014.