Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/59, 52/95, 66/81, 66/395 quickly i.e. 63492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/59, 52/95, 66/81, 66/395 is 63492.
LCM(37/59, 52/95, 66/81, 66/395) = 63492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/59,52/95,66/81,66/395
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 37,52,66,66
Least Common Multiple of Numerators i.e. LCM of 37,52,66,66 is 63492.
GCF of Denominators means GCF of 59,95,81,395 as per the given fractions.
GCF of 59,95,81,395 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,52,66,66
2 | 37, 52, 66, 66 |
3 | 37, 26, 33, 33 |
11 | 37, 26, 11, 11 |
37, 26, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 37 x 26 x 1 x 1 = 63492
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 37,52,66,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,52,66,66) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(37,52,66,66) x common factors =1 x 132 = 132
LCM(37,52,66,66) = ( 37 × 52 × 66 × 66 ) / 132
LCM(37,52,66,66) = 8380944 / 132
LCM(37,52,66,66) = 63492
Lets's calculate GCF of 59,95,81,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63492/1
Therefore the LCM of Fractions 37/59,52/95,66/81,66/395 is 63492
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Greatest Common Factor
We found the factors 59,95,81,395 . The biggest common factor number is the GCF number.
So the greatest common factor 59,95,81,395 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 37/59, 52/95, 66/81, 66/395?
Answer: LCM of Numerators as per given numbers 37/59, 52/95, 66/81, 66/395 is
LCM of Numerators i.e. for 37,52,66,66 is 63492
GCF of denominators i.e. for 59,95,81,395 is 1.
Thus, LCM of Fractions is 63492.Finally, LCM of Fractions for 37/59, 52/95, 66/81, 66/395 is 63492.