Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/30, 81/83, 66/12, 20/712 quickly i.e. 17820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/30, 81/83, 66/12, 20/712 is 17820.
LCM(81/30, 81/83, 66/12, 20/712) = 17820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/30,81/83,66/12,20/712
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 81,81,66,20
Least Common Multiple of Numerators i.e. LCM of 81,81,66,20 is 17820.
GCF of Denominators means GCF of 30,83,12,712 as per the given fractions.
GCF of 30,83,12,712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,81,66,20
2 | 81, 81, 66, 20 |
3 | 81, 81, 33, 10 |
3 | 27, 27, 11, 10 |
3 | 9, 9, 11, 10 |
3 | 3, 3, 11, 10 |
1, 1, 11, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 1 x 1 x 11 x 10 = 17820
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 81,81,66,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,81,66,20) = 1
common factors(in case of two or more numbers have common factors) = 486
GCF(81,81,66,20) x common factors =1 x 486 = 486
LCM(81,81,66,20) = ( 81 × 81 × 66 × 20 ) / 486
LCM(81,81,66,20) = 8660520 / 486
LCM(81,81,66,20) = 17820
Lets's calculate GCF of 30,83,12,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17820/1
Therefore the LCM of Fractions 81/30,81/83,66/12,20/712 is 17820
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 30,83,12,712 . The biggest common factor number is the GCF number.
So the greatest common factor 30,83,12,712 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 81/30, 81/83, 66/12, 20/712?
Answer: LCM of Numerators as per given numbers 81/30, 81/83, 66/12, 20/712 is
LCM of Numerators i.e. for 81,81,66,20 is 17820
GCF of denominators i.e. for 30,83,12,712 is 1.
Thus, LCM of Fractions is 17820.Finally, LCM of Fractions for 81/30, 81/83, 66/12, 20/712 is 17820.