Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/368, 841/883 quickly i.e. 330513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/368, 841/883 is 330513.
LCM(393/368, 841/883) = 330513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/368,841/883
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 393,841
Least Common Multiple of Numerators i.e. LCM of 393,841 is 330513.
GCF of Denominators means GCF of 368,883 as per the given fractions.
GCF of 368,883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 330513
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 393,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,841) x common factors =1 x 1 = 1
LCM(393,841) = ( 393 × 841 ) / 1
LCM(393,841) = 330513 / 1
LCM(393,841) = 330513
Lets's calculate GCF of 368,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330513/1
Therefore the LCM of Fractions 393/368,841/883 is 330513
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 368,883 . The biggest common factor number is the GCF number.
So the greatest common factor 368,883 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 393/368, 841/883?
Answer: LCM of Numerators as per given numbers 393/368, 841/883 is
LCM of Numerators i.e. for 393,841 is 330513
GCF of denominators i.e. for 368,883 is 1.
Thus, LCM of Fractions is 330513.Finally, LCM of Fractions for 393/368, 841/883 is 330513.