Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/73, 66/69, 69/45, 36/59 quickly i.e. 9108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/73, 66/69, 69/45, 36/59 is 9108.
LCM(36/73, 66/69, 69/45, 36/59) = 9108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/73,66/69,69/45,36/59
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 36,66,69,36
Least Common Multiple of Numerators i.e. LCM of 36,66,69,36 is 9108.
GCF of Denominators means GCF of 73,69,45,59 as per the given fractions.
GCF of 73,69,45,59 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,66,69,36
2 | 36, 66, 69, 36 |
2 | 18, 33, 69, 18 |
3 | 9, 33, 69, 9 |
3 | 3, 11, 23, 3 |
1, 11, 23, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 11 x 23 x 1 = 9108
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 36,66,69,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,66,69,36) = 3
common factors(in case of two or more numbers have common factors) = 216
GCF(36,66,69,36) x common factors =3 x 216 = 648
LCM(36,66,69,36) = ( 36 × 66 × 69 × 36 ) / 648
LCM(36,66,69,36) = 5901984 / 648
LCM(36,66,69,36) = 9108
Lets's calculate GCF of 73,69,45,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9108/1
Therefore the LCM of Fractions 36/73,66/69,69/45,36/59 is 9108
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Greatest Common Factor
We found the factors 73,69,45,59 . The biggest common factor number is the GCF number.
So the greatest common factor 73,69,45,59 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 36/73, 66/69, 69/45, 36/59?
Answer: LCM of Numerators as per given numbers 36/73, 66/69, 69/45, 36/59 is
LCM of Numerators i.e. for 36,66,69,36 is 9108
GCF of denominators i.e. for 73,69,45,59 is 1.
Thus, LCM of Fractions is 9108.Finally, LCM of Fractions for 36/73, 66/69, 69/45, 36/59 is 9108.