Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/52, 83/27, 72/33, 52/288 quickly i.e. 77688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/52, 83/27, 72/33, 52/288 is 77688.
LCM(12/52, 83/27, 72/33, 52/288) = 77688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/52,83/27,72/33,52/288
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 12,83,72,52
Least Common Multiple of Numerators i.e. LCM of 12,83,72,52 is 77688.
GCF of Denominators means GCF of 52,27,33,288 as per the given fractions.
GCF of 52,27,33,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,83,72,52
2 | 12, 83, 72, 52 |
2 | 6, 83, 36, 26 |
3 | 3, 83, 18, 13 |
1, 83, 6, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 83 x 6 x 13 = 77688
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 12,83,72,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,83,72,52) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(12,83,72,52) x common factors =1 x 48 = 48
LCM(12,83,72,52) = ( 12 × 83 × 72 × 52 ) / 48
LCM(12,83,72,52) = 3729024 / 48
LCM(12,83,72,52) = 77688
Lets's calculate GCF of 52,27,33,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77688/1
Therefore the LCM of Fractions 12/52,83/27,72/33,52/288 is 77688
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
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 52,27,33,288 . The biggest common factor number is the GCF number.
So the greatest common factor 52,27,33,288 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 12/52, 83/27, 72/33, 52/288?
Answer: LCM of Numerators as per given numbers 12/52, 83/27, 72/33, 52/288 is
LCM of Numerators i.e. for 12,83,72,52 is 77688
GCF of denominators i.e. for 52,27,33,288 is 1.
Thus, LCM of Fractions is 77688.Finally, LCM of Fractions for 12/52, 83/27, 72/33, 52/288 is 77688.