Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 418/299, 9563/7479 quickly i.e. 3997334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 418/299, 9563/7479 is 3997334.
LCM(418/299, 9563/7479) = 3997334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 418/299,9563/7479
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 418,9563
Least Common Multiple of Numerators i.e. LCM of 418,9563 is 3997334.
GCF of Denominators means GCF of 299,7479 as per the given fractions.
GCF of 299,7479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 418,9563
Given numbers has no common factors except 1. So, there LCM is their product i.e 3997334
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 418,9563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,9563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,9563) x common factors =1 x 1 = 1
LCM(418,9563) = ( 418 × 9563 ) / 1
LCM(418,9563) = 3997334 / 1
LCM(418,9563) = 3997334
Lets's calculate GCF of 299,7479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3997334/1
Therefore the LCM of Fractions 418/299,9563/7479 is 3997334
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 7479
List of positive integer factors of 7479 that divides 7479 without a remainder.
1,3,9,27,277,831,2493,7479
Greatest Common Factor
We found the factors 299,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 299,7479 is 1.
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 418/299, 9563/7479?
Answer: LCM of Numerators as per given numbers 418/299, 9563/7479 is
LCM of Numerators i.e. for 418,9563 is 3997334
GCF of denominators i.e. for 299,7479 is 1.
Thus, LCM of Fractions is 3997334.Finally, LCM of Fractions for 418/299, 9563/7479 is 3997334.