Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/393, 8738/9885 quickly i.e. 192236/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/393, 8738/9885 is 192236/3.
LCM(44/393, 8738/9885) = 192236/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/393,8738/9885
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 44,8738
Least Common Multiple of Numerators i.e. LCM of 44,8738 is 192236.
GCF of Denominators means GCF of 393,9885 as per the given fractions.
GCF of 393,9885 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,8738
2 | 44, 8738 |
22, 4369 |
∴ So the LCM of the given numbers is 2 x 22 x 4369 = 192236
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 44,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,8738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,8738) x common factors =2 x 1 = 2
LCM(44,8738) = ( 44 × 8738 ) / 2
LCM(44,8738) = 384472 / 2
LCM(44,8738) = 192236
Lets's calculate GCF of 393,9885
3 | 393, 9885 |
131, 3295 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192236/3
Therefore the LCM of Fractions 44/393,8738/9885 is 192236/3
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 9885
List of positive integer factors of 9885 that divides 9885 without a remainder.
1,3,5,15,659,1977,3295,9885
Greatest Common Factor
We found the factors 393,9885 . The biggest common factor number is the GCF number.
So the greatest common factor 393,9885 is 3.
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 44/393, 8738/9885?
Answer: LCM of Numerators as per given numbers 44/393, 8738/9885 is
LCM of Numerators i.e. for 44,8738 is 192236
GCF of denominators i.e. for 393,9885 is 3.
Thus, LCM of Fractions is 192236/3.Finally, LCM of Fractions for 44/393, 8738/9885 is 192236/3.