Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/28, 18/57, 317/61 quickly i.e. 473598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/28, 18/57, 317/61 is 473598.
LCM(83/28, 18/57, 317/61) = 473598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/28,18/57,317/61
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 83,18,317
Least Common Multiple of Numerators i.e. LCM of 83,18,317 is 473598.
GCF of Denominators means GCF of 28,57,61 as per the given fractions.
GCF of 28,57,61 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,18,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 473598
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 83,18,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,18,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,18,317) x common factors =1 x 1 = 1
LCM(83,18,317) = ( 83 × 18 × 317 ) / 1
LCM(83,18,317) = 473598 / 1
LCM(83,18,317) = 473598
Lets's calculate GCF of 28,57,61
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473598/1
Therefore the LCM of Fractions 83/28,18/57,317/61 is 473598
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Greatest Common Factor
We found the factors 28,57,61 . The biggest common factor number is the GCF number.
So the greatest common factor 28,57,61 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 83/28, 18/57, 317/61?
Answer: LCM of Numerators as per given numbers 83/28, 18/57, 317/61 is
LCM of Numerators i.e. for 83,18,317 is 473598
GCF of denominators i.e. for 28,57,61 is 1.
Thus, LCM of Fractions is 473598.Finally, LCM of Fractions for 83/28, 18/57, 317/61 is 473598.