Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 324/21, 272/72, 864/855 quickly i.e. 14688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 324/21, 272/72, 864/855 is 14688.
LCM(324/21, 272/72, 864/855) = 14688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 324/21,272/72,864/855
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 324,272,864
Least Common Multiple of Numerators i.e. LCM of 324,272,864 is 44064.
GCF of Denominators means GCF of 21,72,855 as per the given fractions.
GCF of 21,72,855 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 324,272,864
2 | 324, 272, 864 |
2 | 162, 136, 432 |
2 | 81, 68, 216 |
2 | 81, 34, 108 |
3 | 81, 17, 54 |
3 | 27, 17, 18 |
3 | 9, 17, 6 |
3, 17, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 2 = 44064
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 324,272,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,272,864) = 4
common factors(in case of two or more numbers have common factors) = 432
GCF(324,272,864) x common factors =4 x 432 = 1728
LCM(324,272,864) = ( 324 × 272 × 864 ) / 1728
LCM(324,272,864) = 76142592 / 1728
LCM(324,272,864) = 44064
Lets's calculate GCF of 21,72,855
3 | 21, 72, 855 |
7, 24, 285 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44064/3
Therefore the LCM of Fractions 324/21,272/72,864/855 is 14688
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 21,72,855 . The biggest common factor number is the GCF number.
So the greatest common factor 21,72,855 is 3.
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 324/21, 272/72, 864/855?
Answer: LCM of Numerators as per given numbers 324/21, 272/72, 864/855 is
LCM of Numerators i.e. for 324,272,864 is 44064
GCF of denominators i.e. for 21,72,855 is 3.
Thus, LCM of Fractions is 14688.Finally, LCM of Fractions for 324/21, 272/72, 864/855 is 14688.