Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2795/396, 8014/998 quickly i.e. 11199565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2795/396, 8014/998 is 11199565.
LCM(2795/396, 8014/998) = 11199565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2795/396,8014/998
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 2795,8014
Least Common Multiple of Numerators i.e. LCM of 2795,8014 is 22399130.
GCF of Denominators means GCF of 396,998 as per the given fractions.
GCF of 396,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2795,8014
Given numbers has no common factors except 1. So, there LCM is their product i.e 22399130
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 2795,8014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2795,8014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2795,8014) x common factors =1 x 1 = 1
LCM(2795,8014) = ( 2795 × 8014 ) / 1
LCM(2795,8014) = 22399130 / 1
LCM(2795,8014) = 22399130
Lets's calculate GCF of 396,998
2 | 396, 998 |
198, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22399130/2
Therefore the LCM of Fractions 2795/396,8014/998 is 11199565
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 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 396,998 . The biggest common factor number is the GCF number.
So the greatest common factor 396,998 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 2795/396, 8014/998?
Answer: LCM of Numerators as per given numbers 2795/396, 8014/998 is
LCM of Numerators i.e. for 2795,8014 is 22399130
GCF of denominators i.e. for 396,998 is 2.
Thus, LCM of Fractions is 11199565.Finally, LCM of Fractions for 2795/396, 8014/998 is 11199565.