Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/463, 311/193 quickly i.e. 162342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/463, 311/193 is 162342.
LCM(522/463, 311/193) = 162342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/463,311/193
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 522,311
Least Common Multiple of Numerators i.e. LCM of 522,311 is 162342.
GCF of Denominators means GCF of 463,193 as per the given fractions.
GCF of 463,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 162342
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 522,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,311) x common factors =1 x 1 = 1
LCM(522,311) = ( 522 × 311 ) / 1
LCM(522,311) = 162342 / 1
LCM(522,311) = 162342
Lets's calculate GCF of 463,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162342/1
Therefore the LCM of Fractions 522/463,311/193 is 162342
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 463,193 . The biggest common factor number is the GCF number.
So the greatest common factor 463,193 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 522/463, 311/193?
Answer: LCM of Numerators as per given numbers 522/463, 311/193 is
LCM of Numerators i.e. for 522,311 is 162342
GCF of denominators i.e. for 463,193 is 1.
Thus, LCM of Fractions is 162342.Finally, LCM of Fractions for 522/463, 311/193 is 162342.