Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/57, 53/90, 73/85, 13/415 quickly i.e. 3973463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/57, 53/90, 73/85, 13/415 is 3973463.
LCM(79/57, 53/90, 73/85, 13/415) = 3973463
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/57,53/90,73/85,13/415
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 79,53,73,13
Least Common Multiple of Numerators i.e. LCM of 79,53,73,13 is 3973463.
GCF of Denominators means GCF of 57,90,85,415 as per the given fractions.
GCF of 57,90,85,415 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,53,73,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 3973463
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 79,53,73,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,53,73,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,53,73,13) x common factors =1 x 1 = 1
LCM(79,53,73,13) = ( 79 × 53 × 73 × 13 ) / 1
LCM(79,53,73,13) = 3973463 / 1
LCM(79,53,73,13) = 3973463
Lets's calculate GCF of 57,90,85,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3973463/1
Therefore the LCM of Fractions 79/57,53/90,73/85,13/415 is 3973463
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 57,90,85,415 . The biggest common factor number is the GCF number.
So the greatest common factor 57,90,85,415 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 79/57, 53/90, 73/85, 13/415?
Answer: LCM of Numerators as per given numbers 79/57, 53/90, 73/85, 13/415 is
LCM of Numerators i.e. for 79,53,73,13 is 3973463
GCF of denominators i.e. for 57,90,85,415 is 1.
Thus, LCM of Fractions is 3973463.Finally, LCM of Fractions for 79/57, 53/90, 73/85, 13/415 is 3973463.