Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8413/94, 3326/298 quickly i.e. 13990819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8413/94, 3326/298 is 13990819.
LCM(8413/94, 3326/298) = 13990819
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8413/94,3326/298
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 8413,3326
Least Common Multiple of Numerators i.e. LCM of 8413,3326 is 27981638.
GCF of Denominators means GCF of 94,298 as per the given fractions.
GCF of 94,298 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8413,3326
Given numbers has no common factors except 1. So, there LCM is their product i.e 27981638
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 8413,3326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8413,3326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8413,3326) x common factors =1 x 1 = 1
LCM(8413,3326) = ( 8413 × 3326 ) / 1
LCM(8413,3326) = 27981638 / 1
LCM(8413,3326) = 27981638
Lets's calculate GCF of 94,298
2 | 94, 298 |
47, 149 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27981638/2
Therefore the LCM of Fractions 8413/94,3326/298 is 13990819
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
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 94,298 . The biggest common factor number is the GCF number.
So the greatest common factor 94,298 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 8413/94, 3326/298?
Answer: LCM of Numerators as per given numbers 8413/94, 3326/298 is
LCM of Numerators i.e. for 8413,3326 is 27981638
GCF of denominators i.e. for 94,298 is 2.
Thus, LCM of Fractions is 13990819.Finally, LCM of Fractions for 8413/94, 3326/298 is 13990819.