Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/395, 85/404, 841/431 quickly i.e. 1286730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/395, 85/404, 841/431 is 1286730.
LCM(18/395, 85/404, 841/431) = 1286730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/395,85/404,841/431
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 18,85,841
Least Common Multiple of Numerators i.e. LCM of 18,85,841 is 1286730.
GCF of Denominators means GCF of 395,404,431 as per the given fractions.
GCF of 395,404,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,85,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 1286730
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 18,85,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,85,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,85,841) x common factors =1 x 1 = 1
LCM(18,85,841) = ( 18 × 85 × 841 ) / 1
LCM(18,85,841) = 1286730 / 1
LCM(18,85,841) = 1286730
Lets's calculate GCF of 395,404,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1286730/1
Therefore the LCM of Fractions 18/395,85/404,841/431 is 1286730
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 395,404,431 . The biggest common factor number is the GCF number.
So the greatest common factor 395,404,431 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 18/395, 85/404, 841/431?
Answer: LCM of Numerators as per given numbers 18/395, 85/404, 841/431 is
LCM of Numerators i.e. for 18,85,841 is 1286730
GCF of denominators i.e. for 395,404,431 is 1.
Thus, LCM of Fractions is 1286730.Finally, LCM of Fractions for 18/395, 85/404, 841/431 is 1286730.