Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 113/38, 269/53, 592/939 quickly i.e. 17995024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 113/38, 269/53, 592/939 is 17995024.
LCM(113/38, 269/53, 592/939) = 17995024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 113/38,269/53,592/939
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 113,269,592
Least Common Multiple of Numerators i.e. LCM of 113,269,592 is 17995024.
GCF of Denominators means GCF of 38,53,939 as per the given fractions.
GCF of 38,53,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 113,269,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 17995024
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 113,269,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,269,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,269,592) x common factors =1 x 1 = 1
LCM(113,269,592) = ( 113 × 269 × 592 ) / 1
LCM(113,269,592) = 17995024 / 1
LCM(113,269,592) = 17995024
Lets's calculate GCF of 38,53,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17995024/1
Therefore the LCM of Fractions 113/38,269/53,592/939 is 17995024
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 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 38,53,939 . The biggest common factor number is the GCF number.
So the greatest common factor 38,53,939 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 113/38, 269/53, 592/939?
Answer: LCM of Numerators as per given numbers 113/38, 269/53, 592/939 is
LCM of Numerators i.e. for 113,269,592 is 17995024
GCF of denominators i.e. for 38,53,939 is 1.
Thus, LCM of Fractions is 17995024.Finally, LCM of Fractions for 113/38, 269/53, 592/939 is 17995024.