Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1398/939, 8413/303 quickly i.e. 3920458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1398/939, 8413/303 is 3920458.
LCM(1398/939, 8413/303) = 3920458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1398/939,8413/303
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 1398,8413
Least Common Multiple of Numerators i.e. LCM of 1398,8413 is 11761374.
GCF of Denominators means GCF of 939,303 as per the given fractions.
GCF of 939,303 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1398,8413
Given numbers has no common factors except 1. So, there LCM is their product i.e 11761374
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 1398,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1398,8413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1398,8413) x common factors =1 x 1 = 1
LCM(1398,8413) = ( 1398 × 8413 ) / 1
LCM(1398,8413) = 11761374 / 1
LCM(1398,8413) = 11761374
Lets's calculate GCF of 939,303
3 | 939, 303 |
313, 101 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11761374/3
Therefore the LCM of Fractions 1398/939,8413/303 is 3920458
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 939,303 . The biggest common factor number is the GCF number.
So the greatest common factor 939,303 is 3.
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 1398/939, 8413/303?
Answer: LCM of Numerators as per given numbers 1398/939, 8413/303 is
LCM of Numerators i.e. for 1398,8413 is 11761374
GCF of denominators i.e. for 939,303 is 3.
Thus, LCM of Fractions is 3920458.Finally, LCM of Fractions for 1398/939, 8413/303 is 3920458.