Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8623/390, 3361/817 quickly i.e. 28981903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8623/390, 3361/817 is 28981903.
LCM(8623/390, 3361/817) = 28981903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8623/390,3361/817
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 8623,3361
Least Common Multiple of Numerators i.e. LCM of 8623,3361 is 28981903.
GCF of Denominators means GCF of 390,817 as per the given fractions.
GCF of 390,817 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8623,3361
Given numbers has no common factors except 1. So, there LCM is their product i.e 28981903
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 8623,3361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8623,3361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8623,3361) x common factors =1 x 1 = 1
LCM(8623,3361) = ( 8623 × 3361 ) / 1
LCM(8623,3361) = 28981903 / 1
LCM(8623,3361) = 28981903
Lets's calculate GCF of 390,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28981903/1
Therefore the LCM of Fractions 8623/390,3361/817 is 28981903
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 390,817 . The biggest common factor number is the GCF number.
So the greatest common factor 390,817 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 8623/390, 3361/817?
Answer: LCM of Numerators as per given numbers 8623/390, 3361/817 is
LCM of Numerators i.e. for 8623,3361 is 28981903
GCF of denominators i.e. for 390,817 is 1.
Thus, LCM of Fractions is 28981903.Finally, LCM of Fractions for 8623/390, 3361/817 is 28981903.