Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/307, 52/269, 231/443 quickly i.e. 492492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/307, 52/269, 231/443 is 492492.
LCM(41/307, 52/269, 231/443) = 492492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/307,52/269,231/443
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 41,52,231
Least Common Multiple of Numerators i.e. LCM of 41,52,231 is 492492.
GCF of Denominators means GCF of 307,269,443 as per the given fractions.
GCF of 307,269,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,52,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 492492
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 41,52,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,52,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,52,231) x common factors =1 x 1 = 1
LCM(41,52,231) = ( 41 × 52 × 231 ) / 1
LCM(41,52,231) = 492492 / 1
LCM(41,52,231) = 492492
Lets's calculate GCF of 307,269,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492492/1
Therefore the LCM of Fractions 41/307,52/269,231/443 is 492492
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 307,269,443 . The biggest common factor number is the GCF number.
So the greatest common factor 307,269,443 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 41/307, 52/269, 231/443?
Answer: LCM of Numerators as per given numbers 41/307, 52/269, 231/443 is
LCM of Numerators i.e. for 41,52,231 is 492492
GCF of denominators i.e. for 307,269,443 is 1.
Thus, LCM of Fractions is 492492.Finally, LCM of Fractions for 41/307, 52/269, 231/443 is 492492.