Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/320, 92/543, 439/230 quickly i.e. 1655908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/320, 92/543, 439/230 is 1655908.
LCM(82/320, 92/543, 439/230) = 1655908
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/320,92/543,439/230
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 82,92,439
Least Common Multiple of Numerators i.e. LCM of 82,92,439 is 1655908.
GCF of Denominators means GCF of 320,543,230 as per the given fractions.
GCF of 320,543,230 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,92,439
2 | 82, 92, 439 |
41, 46, 439 |
∴ So the LCM of the given numbers is 2 x 41 x 46 x 439 = 1655908
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 82,92,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,92,439) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,92,439) x common factors =1 x 2 = 2
LCM(82,92,439) = ( 82 × 92 × 439 ) / 2
LCM(82,92,439) = 3311816 / 2
LCM(82,92,439) = 1655908
Lets's calculate GCF of 320,543,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1655908/1
Therefore the LCM of Fractions 82/320,92/543,439/230 is 1655908
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 320,543,230 . The biggest common factor number is the GCF number.
So the greatest common factor 320,543,230 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 82/320, 92/543, 439/230?
Answer: LCM of Numerators as per given numbers 82/320, 92/543, 439/230 is
LCM of Numerators i.e. for 82,92,439 is 1655908
GCF of denominators i.e. for 320,543,230 is 1.
Thus, LCM of Fractions is 1655908.Finally, LCM of Fractions for 82/320, 92/543, 439/230 is 1655908.