Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/320, 814/23, 692/559 quickly i.e. 11547404 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, 814/23, 692/559 is 11547404.
LCM(82/320, 814/23, 692/559) = 11547404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/320,814/23,692/559
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 82,814,692
Least Common Multiple of Numerators i.e. LCM of 82,814,692 is 11547404.
GCF of Denominators means GCF of 320,23,559 as per the given fractions.
GCF of 320,23,559 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,814,692
2 | 82, 814, 692 |
41, 407, 346 |
∴ So the LCM of the given numbers is 2 x 41 x 407 x 346 = 11547404
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 82,814,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,814,692) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,814,692) x common factors =2 x 2 = 4
LCM(82,814,692) = ( 82 × 814 × 692 ) / 4
LCM(82,814,692) = 46189616 / 4
LCM(82,814,692) = 11547404
Lets's calculate GCF of 320,23,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11547404/1
Therefore the LCM of Fractions 82/320,814/23,692/559 is 11547404
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 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 320,23,559 . The biggest common factor number is the GCF number.
So the greatest common factor 320,23,559 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, 814/23, 692/559?
Answer: LCM of Numerators as per given numbers 82/320, 814/23, 692/559 is
LCM of Numerators i.e. for 82,814,692 is 11547404
GCF of denominators i.e. for 320,23,559 is 1.
Thus, LCM of Fractions is 11547404.Finally, LCM of Fractions for 82/320, 814/23, 692/559 is 11547404.