Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/52, 453/9527 quickly i.e. 105096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/52, 453/9527 is 105096.
LCM(232/52, 453/9527) = 105096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/52,453/9527
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 232,453
Least Common Multiple of Numerators i.e. LCM of 232,453 is 105096.
GCF of Denominators means GCF of 52,9527 as per the given fractions.
GCF of 52,9527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 105096
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 232,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,453) x common factors =1 x 1 = 1
LCM(232,453) = ( 232 × 453 ) / 1
LCM(232,453) = 105096 / 1
LCM(232,453) = 105096
Lets's calculate GCF of 52,9527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105096/1
Therefore the LCM of Fractions 232/52,453/9527 is 105096
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 9527
List of positive integer factors of 9527 that divides 9527 without a remainder.
1,7,1361,9527
Greatest Common Factor
We found the factors 52,9527 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9527 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 232/52, 453/9527?
Answer: LCM of Numerators as per given numbers 232/52, 453/9527 is
LCM of Numerators i.e. for 232,453 is 105096
GCF of denominators i.e. for 52,9527 is 1.
Thus, LCM of Fractions is 105096.Finally, LCM of Fractions for 232/52, 453/9527 is 105096.