Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/27, 66/30, 57/75, 74/36 quickly i.e. 15466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/27, 66/30, 57/75, 74/36 is 15466.
LCM(74/27, 66/30, 57/75, 74/36) = 15466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/27,66/30,57/75,74/36
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 74,66,57,74
Least Common Multiple of Numerators i.e. LCM of 74,66,57,74 is 46398.
GCF of Denominators means GCF of 27,30,75,36 as per the given fractions.
GCF of 27,30,75,36 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,66,57,74
2 | 74, 66, 57, 74 |
3 | 37, 33, 57, 37 |
37 | 37, 11, 19, 37 |
1, 11, 19, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 11 x 19 x 1 = 46398
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 74,66,57,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,66,57,74) = 1
common factors(in case of two or more numbers have common factors) = 444
GCF(74,66,57,74) x common factors =1 x 444 = 444
LCM(74,66,57,74) = ( 74 × 66 × 57 × 74 ) / 444
LCM(74,66,57,74) = 20600712 / 444
LCM(74,66,57,74) = 46398
Lets's calculate GCF of 27,30,75,36
3 | 27, 30, 75, 36 |
9, 10, 25, 12 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46398/3
Therefore the LCM of Fractions 74/27,66/30,57/75,74/36 is 15466
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
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 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
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 27,30,75,36 . The biggest common factor number is the GCF number.
So the greatest common factor 27,30,75,36 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 74/27, 66/30, 57/75, 74/36?
Answer: LCM of Numerators as per given numbers 74/27, 66/30, 57/75, 74/36 is
LCM of Numerators i.e. for 74,66,57,74 is 46398
GCF of denominators i.e. for 27,30,75,36 is 3.
Thus, LCM of Fractions is 15466.Finally, LCM of Fractions for 74/27, 66/30, 57/75, 74/36 is 15466.