Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8286/86, 9447/423 quickly i.e. 26092614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8286/86, 9447/423 is 26092614.
LCM(8286/86, 9447/423) = 26092614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8286/86,9447/423
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 8286,9447
Least Common Multiple of Numerators i.e. LCM of 8286,9447 is 26092614.
GCF of Denominators means GCF of 86,423 as per the given fractions.
GCF of 86,423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8286,9447
3 | 8286, 9447 |
2762, 3149 |
∴ So the LCM of the given numbers is 3 x 2762 x 3149 = 26092614
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 8286,9447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8286,9447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8286,9447) x common factors =3 x 1 = 3
LCM(8286,9447) = ( 8286 × 9447 ) / 3
LCM(8286,9447) = 78277842 / 3
LCM(8286,9447) = 26092614
Lets's calculate GCF of 86,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26092614/1
Therefore the LCM of Fractions 8286/86,9447/423 is 26092614
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 86,423 . The biggest common factor number is the GCF number.
So the greatest common factor 86,423 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 8286/86, 9447/423?
Answer: LCM of Numerators as per given numbers 8286/86, 9447/423 is
LCM of Numerators i.e. for 8286,9447 is 26092614
GCF of denominators i.e. for 86,423 is 1.
Thus, LCM of Fractions is 26092614.Finally, LCM of Fractions for 8286/86, 9447/423 is 26092614.