Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/40, 77/38, 89/57, 66/965 quickly i.e. 781242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/40, 77/38, 89/57, 66/965 is 781242.
LCM(57/40, 77/38, 89/57, 66/965) = 781242
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/40,77/38,89/57,66/965
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 57,77,89,66
Least Common Multiple of Numerators i.e. LCM of 57,77,89,66 is 781242.
GCF of Denominators means GCF of 40,38,57,965 as per the given fractions.
GCF of 40,38,57,965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,77,89,66
3 | 57, 77, 89, 66 |
11 | 19, 77, 89, 22 |
19, 7, 89, 2 |
∴ So the LCM of the given numbers is 3 x 11 x 19 x 7 x 89 x 2 = 781242
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 57,77,89,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,77,89,66) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(57,77,89,66) x common factors =1 x 33 = 33
LCM(57,77,89,66) = ( 57 × 77 × 89 × 66 ) / 33
LCM(57,77,89,66) = 25780986 / 33
LCM(57,77,89,66) = 781242
Lets's calculate GCF of 40,38,57,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781242/1
Therefore the LCM of Fractions 57/40,77/38,89/57,66/965 is 781242
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 40,38,57,965 . The biggest common factor number is the GCF number.
So the greatest common factor 40,38,57,965 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 57/40, 77/38, 89/57, 66/965?
Answer: LCM of Numerators as per given numbers 57/40, 77/38, 89/57, 66/965 is
LCM of Numerators i.e. for 57,77,89,66 is 781242
GCF of denominators i.e. for 40,38,57,965 is 1.
Thus, LCM of Fractions is 781242.Finally, LCM of Fractions for 57/40, 77/38, 89/57, 66/965 is 781242.