Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/40, 330/14, 723/298 quickly i.e. 238590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/40, 330/14, 723/298 is 238590.
LCM(396/40, 330/14, 723/298) = 238590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/40,330/14,723/298
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 396,330,723
Least Common Multiple of Numerators i.e. LCM of 396,330,723 is 477180.
GCF of Denominators means GCF of 40,14,298 as per the given fractions.
GCF of 40,14,298 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,330,723
2 | 396, 330, 723 |
3 | 198, 165, 723 |
11 | 66, 55, 241 |
6, 5, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 6 x 5 x 241 = 477180
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 396,330,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,330,723) = 3
common factors(in case of two or more numbers have common factors) = 66
GCF(396,330,723) x common factors =3 x 66 = 198
LCM(396,330,723) = ( 396 × 330 × 723 ) / 198
LCM(396,330,723) = 94481640 / 198
LCM(396,330,723) = 477180
Lets's calculate GCF of 40,14,298
2 | 40, 14, 298 |
20, 7, 149 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477180/2
Therefore the LCM of Fractions 396/40,330/14,723/298 is 238590
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 40,14,298 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,298 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 396/40, 330/14, 723/298?
Answer: LCM of Numerators as per given numbers 396/40, 330/14, 723/298 is
LCM of Numerators i.e. for 396,330,723 is 477180
GCF of denominators i.e. for 40,14,298 is 2.
Thus, LCM of Fractions is 238590.Finally, LCM of Fractions for 396/40, 330/14, 723/298 is 238590.