Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/71, 91/82, 71/17 quickly i.e. 258440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/71, 91/82, 71/17 is 258440.
LCM(40/71, 91/82, 71/17) = 258440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/71,91/82,71/17
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 40,91,71
Least Common Multiple of Numerators i.e. LCM of 40,91,71 is 258440.
GCF of Denominators means GCF of 71,82,17 as per the given fractions.
GCF of 71,82,17 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,91,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 258440
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 40,91,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,91,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,91,71) x common factors =1 x 1 = 1
LCM(40,91,71) = ( 40 × 91 × 71 ) / 1
LCM(40,91,71) = 258440 / 1
LCM(40,91,71) = 258440
Lets's calculate GCF of 71,82,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258440/1
Therefore the LCM of Fractions 40/71,91/82,71/17 is 258440
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Greatest Common Factor
We found the factors 71,82,17 . The biggest common factor number is the GCF number.
So the greatest common factor 71,82,17 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 40/71, 91/82, 71/17?
Answer: LCM of Numerators as per given numbers 40/71, 91/82, 71/17 is
LCM of Numerators i.e. for 40,91,71 is 258440
GCF of denominators i.e. for 71,82,17 is 1.
Thus, LCM of Fractions is 258440.Finally, LCM of Fractions for 40/71, 91/82, 71/17 is 258440.