Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/95, 52/41, 824/500 quickly i.e. 10712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/95, 52/41, 824/500 is 10712.
LCM(52/95, 52/41, 824/500) = 10712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/95,52/41,824/500
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 52,52,824
Least Common Multiple of Numerators i.e. LCM of 52,52,824 is 10712.
GCF of Denominators means GCF of 95,41,500 as per the given fractions.
GCF of 95,41,500 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,52,824
2 | 52, 52, 824 |
2 | 26, 26, 412 |
13 | 13, 13, 206 |
1, 1, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 1 x 206 = 10712
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 52,52,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,52,824) = 4
common factors(in case of two or more numbers have common factors) = 52
GCF(52,52,824) x common factors =4 x 52 = 208
LCM(52,52,824) = ( 52 × 52 × 824 ) / 208
LCM(52,52,824) = 2228096 / 208
LCM(52,52,824) = 10712
Lets's calculate GCF of 95,41,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10712/1
Therefore the LCM of Fractions 52/95,52/41,824/500 is 10712
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 95,41,500 . The biggest common factor number is the GCF number.
So the greatest common factor 95,41,500 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 52/95, 52/41, 824/500?
Answer: LCM of Numerators as per given numbers 52/95, 52/41, 824/500 is
LCM of Numerators i.e. for 52,52,824 is 10712
GCF of denominators i.e. for 95,41,500 is 1.
Thus, LCM of Fractions is 10712.Finally, LCM of Fractions for 52/95, 52/41, 824/500 is 10712.