Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 831/18, 704/2347 quickly i.e. 585024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 831/18, 704/2347 is 585024.
LCM(831/18, 704/2347) = 585024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 831/18,704/2347
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 831,704
Least Common Multiple of Numerators i.e. LCM of 831,704 is 585024.
GCF of Denominators means GCF of 18,2347 as per the given fractions.
GCF of 18,2347 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 831,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 585024
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 831,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,704) x common factors =1 x 1 = 1
LCM(831,704) = ( 831 × 704 ) / 1
LCM(831,704) = 585024 / 1
LCM(831,704) = 585024
Lets's calculate GCF of 18,2347
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585024/1
Therefore the LCM of Fractions 831/18,704/2347 is 585024
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 2347
List of positive integer factors of 2347 that divides 2347 without a remainder.
1,2347
Greatest Common Factor
We found the factors 18,2347 . The biggest common factor number is the GCF number.
So the greatest common factor 18,2347 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 831/18, 704/2347?
Answer: LCM of Numerators as per given numbers 831/18, 704/2347 is
LCM of Numerators i.e. for 831,704 is 585024
GCF of denominators i.e. for 18,2347 is 1.
Thus, LCM of Fractions is 585024.Finally, LCM of Fractions for 831/18, 704/2347 is 585024.