Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/329, 261/550, 481/288 quickly i.e. 1004328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/329, 261/550, 481/288 is 1004328.
LCM(24/329, 261/550, 481/288) = 1004328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/329,261/550,481/288
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 24,261,481
Least Common Multiple of Numerators i.e. LCM of 24,261,481 is 1004328.
GCF of Denominators means GCF of 329,550,288 as per the given fractions.
GCF of 329,550,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,261,481
3 | 24, 261, 481 |
8, 87, 481 |
∴ So the LCM of the given numbers is 3 x 8 x 87 x 481 = 1004328
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 24,261,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,261,481) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(24,261,481) x common factors =1 x 3 = 3
LCM(24,261,481) = ( 24 × 261 × 481 ) / 3
LCM(24,261,481) = 3012984 / 3
LCM(24,261,481) = 1004328
Lets's calculate GCF of 329,550,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1004328/1
Therefore the LCM of Fractions 24/329,261/550,481/288 is 1004328
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 329,550,288 . The biggest common factor number is the GCF number.
So the greatest common factor 329,550,288 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 24/329, 261/550, 481/288?
Answer: LCM of Numerators as per given numbers 24/329, 261/550, 481/288 is
LCM of Numerators i.e. for 24,261,481 is 1004328
GCF of denominators i.e. for 329,550,288 is 1.
Thus, LCM of Fractions is 1004328.Finally, LCM of Fractions for 24/329, 261/550, 481/288 is 1004328.