Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/52, 575/81, 512/239 quickly i.e. 294400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/52, 575/81, 512/239 is 294400.
LCM(46/52, 575/81, 512/239) = 294400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/52,575/81,512/239
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 46,575,512
Least Common Multiple of Numerators i.e. LCM of 46,575,512 is 294400.
GCF of Denominators means GCF of 52,81,239 as per the given fractions.
GCF of 52,81,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,575,512
2 | 46, 575, 512 |
23 | 23, 575, 256 |
1, 25, 256 |
∴ So the LCM of the given numbers is 2 x 23 x 1 x 25 x 256 = 294400
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 46,575,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,575,512) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(46,575,512) x common factors =1 x 46 = 46
LCM(46,575,512) = ( 46 × 575 × 512 ) / 46
LCM(46,575,512) = 13542400 / 46
LCM(46,575,512) = 294400
Lets's calculate GCF of 52,81,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294400/1
Therefore the LCM of Fractions 46/52,575/81,512/239 is 294400
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 52,81,239 . The biggest common factor number is the GCF number.
So the greatest common factor 52,81,239 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 46/52, 575/81, 512/239?
Answer: LCM of Numerators as per given numbers 46/52, 575/81, 512/239 is
LCM of Numerators i.e. for 46,575,512 is 294400
GCF of denominators i.e. for 52,81,239 is 1.
Thus, LCM of Fractions is 294400.Finally, LCM of Fractions for 46/52, 575/81, 512/239 is 294400.