Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/12, 88/21, 812/15 quickly i.e. 482328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/12, 88/21, 812/15 is 482328.
LCM(81/12, 88/21, 812/15) = 482328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/12,88/21,812/15
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 81,88,812
Least Common Multiple of Numerators i.e. LCM of 81,88,812 is 1446984.
GCF of Denominators means GCF of 12,21,15 as per the given fractions.
GCF of 12,21,15 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,88,812
2 | 81, 88, 812 |
2 | 81, 44, 406 |
81, 22, 203 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 22 x 203 = 1446984
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 81,88,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,88,812) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(81,88,812) x common factors =1 x 4 = 4
LCM(81,88,812) = ( 81 × 88 × 812 ) / 4
LCM(81,88,812) = 5787936 / 4
LCM(81,88,812) = 1446984
Lets's calculate GCF of 12,21,15
3 | 12, 21, 15 |
4, 7, 5 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1446984/3
Therefore the LCM of Fractions 81/12,88/21,812/15 is 482328
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 12,21,15 . The biggest common factor number is the GCF number.
So the greatest common factor 12,21,15 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 81/12, 88/21, 812/15?
Answer: LCM of Numerators as per given numbers 81/12, 88/21, 812/15 is
LCM of Numerators i.e. for 81,88,812 is 1446984
GCF of denominators i.e. for 12,21,15 is 3.
Thus, LCM of Fractions is 482328.Finally, LCM of Fractions for 81/12, 88/21, 812/15 is 482328.