Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/48, 990/2942 quickly i.e. 64845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/48, 990/2942 is 64845.
LCM(393/48, 990/2942) = 64845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/48,990/2942
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 393,990
Least Common Multiple of Numerators i.e. LCM of 393,990 is 129690.
GCF of Denominators means GCF of 48,2942 as per the given fractions.
GCF of 48,2942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,990
3 | 393, 990 |
131, 330 |
∴ So the LCM of the given numbers is 3 x 131 x 330 = 129690
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 393,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,990) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,990) x common factors =3 x 1 = 3
LCM(393,990) = ( 393 × 990 ) / 3
LCM(393,990) = 389070 / 3
LCM(393,990) = 129690
Lets's calculate GCF of 48,2942
2 | 48, 2942 |
24, 1471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129690/2
Therefore the LCM of Fractions 393/48,990/2942 is 64845
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Greatest Common Factor
We found the factors 48,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 48,2942 is 2.
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 393/48, 990/2942?
Answer: LCM of Numerators as per given numbers 393/48, 990/2942 is
LCM of Numerators i.e. for 393,990 is 129690
GCF of denominators i.e. for 48,2942 is 2.
Thus, LCM of Fractions is 64845.Finally, LCM of Fractions for 393/48, 990/2942 is 64845.