Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/13, 308/2041 quickly i.e. 113036/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/13, 308/2041 is 113036/13.
LCM(367/13, 308/2041) = 113036/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/13,308/2041
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 367,308
Least Common Multiple of Numerators i.e. LCM of 367,308 is 113036.
GCF of Denominators means GCF of 13,2041 as per the given fractions.
GCF of 13,2041 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,308
Given numbers has no common factors except 1. So, there LCM is their product i.e 113036
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 367,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,308) x common factors =1 x 1 = 1
LCM(367,308) = ( 367 × 308 ) / 1
LCM(367,308) = 113036 / 1
LCM(367,308) = 113036
Lets's calculate GCF of 13,2041
13 | 13, 2041 |
1, 157 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113036/13
Therefore the LCM of Fractions 367/13,308/2041 is 113036/13
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1,13,157,2041
Greatest Common Factor
We found the factors 13,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2041 is 13.
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 367/13, 308/2041?
Answer: LCM of Numerators as per given numbers 367/13, 308/2041 is
LCM of Numerators i.e. for 367,308 is 113036
GCF of denominators i.e. for 13,2041 is 13.
Thus, LCM of Fractions is 113036/13.Finally, LCM of Fractions for 367/13, 308/2041 is 113036/13.