Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/396, 9295/822 quickly i.e. 3048760/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/396, 9295/822 is 3048760/6.
LCM(328/396, 9295/822) = 3048760/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/396,9295/822
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 328,9295
Least Common Multiple of Numerators i.e. LCM of 328,9295 is 3048760.
GCF of Denominators means GCF of 396,822 as per the given fractions.
GCF of 396,822 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,9295
Given numbers has no common factors except 1. So, there LCM is their product i.e 3048760
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 328,9295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,9295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,9295) x common factors =1 x 1 = 1
LCM(328,9295) = ( 328 × 9295 ) / 1
LCM(328,9295) = 3048760 / 1
LCM(328,9295) = 3048760
Lets's calculate GCF of 396,822
2 | 396, 822 |
3 | 198, 411 |
66, 137 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3048760/6
Therefore the LCM of Fractions 328/396,9295/822 is 3048760/6
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 396,822 . The biggest common factor number is the GCF number.
So the greatest common factor 396,822 is 6.
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 328/396, 9295/822?
Answer: LCM of Numerators as per given numbers 328/396, 9295/822 is
LCM of Numerators i.e. for 328,9295 is 3048760
GCF of denominators i.e. for 396,822 is 6.
Thus, LCM of Fractions is 3048760/6.Finally, LCM of Fractions for 328/396, 9295/822 is 3048760/6.