Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/259, 437/299 quickly i.e. 228114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/259, 437/299 is 228114.
LCM(522/259, 437/299) = 228114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/259,437/299
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 522,437
Least Common Multiple of Numerators i.e. LCM of 522,437 is 228114.
GCF of Denominators means GCF of 259,299 as per the given fractions.
GCF of 259,299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 228114
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 522,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,437) x common factors =1 x 1 = 1
LCM(522,437) = ( 522 × 437 ) / 1
LCM(522,437) = 228114 / 1
LCM(522,437) = 228114
Lets's calculate GCF of 259,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228114/1
Therefore the LCM of Fractions 522/259,437/299 is 228114
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 259,299 . The biggest common factor number is the GCF number.
So the greatest common factor 259,299 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 522/259, 437/299?
Answer: LCM of Numerators as per given numbers 522/259, 437/299 is
LCM of Numerators i.e. for 522,437 is 228114
GCF of denominators i.e. for 259,299 is 1.
Thus, LCM of Fractions is 228114.Finally, LCM of Fractions for 522/259, 437/299 is 228114.