Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 383/54, 998/1663 quickly i.e. 382234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 383/54, 998/1663 is 382234.
LCM(383/54, 998/1663) = 382234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 383/54,998/1663
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 383,998
Least Common Multiple of Numerators i.e. LCM of 383,998 is 382234.
GCF of Denominators means GCF of 54,1663 as per the given fractions.
GCF of 54,1663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 383,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 382234
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 383,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,998) x common factors =1 x 1 = 1
LCM(383,998) = ( 383 × 998 ) / 1
LCM(383,998) = 382234 / 1
LCM(383,998) = 382234
Lets's calculate GCF of 54,1663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382234/1
Therefore the LCM of Fractions 383/54,998/1663 is 382234
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 1663
List of positive integer factors of 1663 that divides 1663 without a remainder.
1,1663
Greatest Common Factor
We found the factors 54,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 54,1663 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 383/54, 998/1663?
Answer: LCM of Numerators as per given numbers 383/54, 998/1663 is
LCM of Numerators i.e. for 383,998 is 382234
GCF of denominators i.e. for 54,1663 is 1.
Thus, LCM of Fractions is 382234.Finally, LCM of Fractions for 383/54, 998/1663 is 382234.