Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 398/990, 9766/324 quickly i.e. 1943434/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 398/990, 9766/324 is 1943434/18.
LCM(398/990, 9766/324) = 1943434/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 398/990,9766/324
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 398,9766
Least Common Multiple of Numerators i.e. LCM of 398,9766 is 1943434.
GCF of Denominators means GCF of 990,324 as per the given fractions.
GCF of 990,324 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 398,9766
2 | 398, 9766 |
199, 4883 |
∴ So the LCM of the given numbers is 2 x 199 x 4883 = 1943434
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 398,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,9766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,9766) x common factors =2 x 1 = 2
LCM(398,9766) = ( 398 × 9766 ) / 2
LCM(398,9766) = 3886868 / 2
LCM(398,9766) = 1943434
Lets's calculate GCF of 990,324
2 | 990, 324 |
3 | 495, 162 |
3 | 165, 54 |
55, 18 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1943434/18
Therefore the LCM of Fractions 398/990,9766/324 is 1943434/18
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 990,324 . The biggest common factor number is the GCF number.
So the greatest common factor 990,324 is 18.
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 398/990, 9766/324?
Answer: LCM of Numerators as per given numbers 398/990, 9766/324 is
LCM of Numerators i.e. for 398,9766 is 1943434
GCF of denominators i.e. for 990,324 is 18.
Thus, LCM of Fractions is 1943434/18.Finally, LCM of Fractions for 398/990, 9766/324 is 1943434/18.