Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 185/79, 647/35, 171/711 quickly i.e. 20467845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 185/79, 647/35, 171/711 is 20467845.
LCM(185/79, 647/35, 171/711) = 20467845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 185/79,647/35,171/711
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 185,647,171
Least Common Multiple of Numerators i.e. LCM of 185,647,171 is 20467845.
GCF of Denominators means GCF of 79,35,711 as per the given fractions.
GCF of 79,35,711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 185,647,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 20467845
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 185,647,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,647,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,647,171) x common factors =1 x 1 = 1
LCM(185,647,171) = ( 185 × 647 × 171 ) / 1
LCM(185,647,171) = 20467845 / 1
LCM(185,647,171) = 20467845
Lets's calculate GCF of 79,35,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20467845/1
Therefore the LCM of Fractions 185/79,647/35,171/711 is 20467845
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 79,35,711 . The biggest common factor number is the GCF number.
So the greatest common factor 79,35,711 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 185/79, 647/35, 171/711?
Answer: LCM of Numerators as per given numbers 185/79, 647/35, 171/711 is
LCM of Numerators i.e. for 185,647,171 is 20467845
GCF of denominators i.e. for 79,35,711 is 1.
Thus, LCM of Fractions is 20467845.Finally, LCM of Fractions for 185/79, 647/35, 171/711 is 20467845.