Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/367, 80/286, 82/511 quickly i.e. 9840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/367, 80/286, 82/511 is 9840.
LCM(3/367, 80/286, 82/511) = 9840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/367,80/286,82/511
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 3,80,82
Least Common Multiple of Numerators i.e. LCM of 3,80,82 is 9840.
GCF of Denominators means GCF of 367,286,511 as per the given fractions.
GCF of 367,286,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,80,82
2 | 3, 80, 82 |
3, 40, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 40 x 41 = 9840
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 3,80,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,80,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(3,80,82) x common factors =1 x 2 = 2
LCM(3,80,82) = ( 3 × 80 × 82 ) / 2
LCM(3,80,82) = 19680 / 2
LCM(3,80,82) = 9840
Lets's calculate GCF of 367,286,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9840/1
Therefore the LCM of Fractions 3/367,80/286,82/511 is 9840
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 367,286,511 . The biggest common factor number is the GCF number.
So the greatest common factor 367,286,511 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 3/367, 80/286, 82/511?
Answer: LCM of Numerators as per given numbers 3/367, 80/286, 82/511 is
LCM of Numerators i.e. for 3,80,82 is 9840
GCF of denominators i.e. for 367,286,511 is 1.
Thus, LCM of Fractions is 9840.Finally, LCM of Fractions for 3/367, 80/286, 82/511 is 9840.