Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 388/29, 229/5022 quickly i.e. 88852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 388/29, 229/5022 is 88852.
LCM(388/29, 229/5022) = 88852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 388/29,229/5022
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 388,229
Least Common Multiple of Numerators i.e. LCM of 388,229 is 88852.
GCF of Denominators means GCF of 29,5022 as per the given fractions.
GCF of 29,5022 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 388,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 88852
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 388,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,229) x common factors =1 x 1 = 1
LCM(388,229) = ( 388 × 229 ) / 1
LCM(388,229) = 88852 / 1
LCM(388,229) = 88852
Lets's calculate GCF of 29,5022
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88852/1
Therefore the LCM of Fractions 388/29,229/5022 is 88852
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 5022
List of positive integer factors of 5022 that divides 5022 without a remainder.
1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022
Greatest Common Factor
We found the factors 29,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5022 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 388/29, 229/5022?
Answer: LCM of Numerators as per given numbers 388/29, 229/5022 is
LCM of Numerators i.e. for 388,229 is 88852
GCF of denominators i.e. for 29,5022 is 1.
Thus, LCM of Fractions is 88852.Finally, LCM of Fractions for 388/29, 229/5022 is 88852.