Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/30, 81/171, 36/104 quickly i.e. 324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/30, 81/171, 36/104 is 324.
LCM(3/30, 81/171, 36/104) = 324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/30,81/171,36/104
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 3,81,36
Least Common Multiple of Numerators i.e. LCM of 3,81,36 is 324.
GCF of Denominators means GCF of 30,171,104 as per the given fractions.
GCF of 30,171,104 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,81,36
3 | 3, 81, 36 |
3 | 1, 27, 12 |
1, 9, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 9 x 4 = 324
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 3,81,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,81,36) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(3,81,36) x common factors =3 x 9 = 27
LCM(3,81,36) = ( 3 × 81 × 36 ) / 27
LCM(3,81,36) = 8748 / 27
LCM(3,81,36) = 324
Lets's calculate GCF of 30,171,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324/1
Therefore the LCM of Fractions 3/30,81/171,36/104 is 324
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 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 30,171,104 . The biggest common factor number is the GCF number.
So the greatest common factor 30,171,104 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 3/30, 81/171, 36/104?
Answer: LCM of Numerators as per given numbers 3/30, 81/171, 36/104 is
LCM of Numerators i.e. for 3,81,36 is 324
GCF of denominators i.e. for 30,171,104 is 1.
Thus, LCM of Fractions is 324.Finally, LCM of Fractions for 3/30, 81/171, 36/104 is 324.