Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/38, 213/53, 341/531 quickly i.e. 8352795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/38, 213/53, 341/531 is 8352795.
LCM(115/38, 213/53, 341/531) = 8352795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/38,213/53,341/531
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 115,213,341
Least Common Multiple of Numerators i.e. LCM of 115,213,341 is 8352795.
GCF of Denominators means GCF of 38,53,531 as per the given fractions.
GCF of 38,53,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,213,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 8352795
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 115,213,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,213,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,213,341) x common factors =1 x 1 = 1
LCM(115,213,341) = ( 115 × 213 × 341 ) / 1
LCM(115,213,341) = 8352795 / 1
LCM(115,213,341) = 8352795
Lets's calculate GCF of 38,53,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8352795/1
Therefore the LCM of Fractions 115/38,213/53,341/531 is 8352795
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 38,53,531 . The biggest common factor number is the GCF number.
So the greatest common factor 38,53,531 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 115/38, 213/53, 341/531?
Answer: LCM of Numerators as per given numbers 115/38, 213/53, 341/531 is
LCM of Numerators i.e. for 115,213,341 is 8352795
GCF of denominators i.e. for 38,53,531 is 1.
Thus, LCM of Fractions is 8352795.Finally, LCM of Fractions for 115/38, 213/53, 341/531 is 8352795.