Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/69, 27/39, 61/36 quickly i.e. 9333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/69, 27/39, 61/36 is 9333.
LCM(17/69, 27/39, 61/36) = 9333
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/69,27/39,61/36
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 17,27,61
Least Common Multiple of Numerators i.e. LCM of 17,27,61 is 27999.
GCF of Denominators means GCF of 69,39,36 as per the given fractions.
GCF of 69,39,36 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,27,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 27999
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 17,27,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,27,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,27,61) x common factors =1 x 1 = 1
LCM(17,27,61) = ( 17 × 27 × 61 ) / 1
LCM(17,27,61) = 27999 / 1
LCM(17,27,61) = 27999
Lets's calculate GCF of 69,39,36
3 | 69, 39, 36 |
23, 13, 12 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27999/3
Therefore the LCM of Fractions 17/69,27/39,61/36 is 9333
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Greatest Common Factor
We found the factors 69,39,36 . The biggest common factor number is the GCF number.
So the greatest common factor 69,39,36 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 17/69, 27/39, 61/36?
Answer: LCM of Numerators as per given numbers 17/69, 27/39, 61/36 is
LCM of Numerators i.e. for 17,27,61 is 27999
GCF of denominators i.e. for 69,39,36 is 3.
Thus, LCM of Fractions is 9333.Finally, LCM of Fractions for 17/69, 27/39, 61/36 is 9333.