Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8919/434, 4441/2419 quickly i.e. 39609279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8919/434, 4441/2419 is 39609279.
LCM(8919/434, 4441/2419) = 39609279
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8919/434,4441/2419
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 8919,4441
Least Common Multiple of Numerators i.e. LCM of 8919,4441 is 39609279.
GCF of Denominators means GCF of 434,2419 as per the given fractions.
GCF of 434,2419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8919,4441
Given numbers has no common factors except 1. So, there LCM is their product i.e 39609279
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 8919,4441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8919,4441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8919,4441) x common factors =1 x 1 = 1
LCM(8919,4441) = ( 8919 × 4441 ) / 1
LCM(8919,4441) = 39609279 / 1
LCM(8919,4441) = 39609279
Lets's calculate GCF of 434,2419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39609279/1
Therefore the LCM of Fractions 8919/434,4441/2419 is 39609279
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 2419
List of positive integer factors of 2419 that divides 2419 without a remainder.
1,41,59,2419
Greatest Common Factor
We found the factors 434,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 434,2419 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 8919/434, 4441/2419?
Answer: LCM of Numerators as per given numbers 8919/434, 4441/2419 is
LCM of Numerators i.e. for 8919,4441 is 39609279
GCF of denominators i.e. for 434,2419 is 1.
Thus, LCM of Fractions is 39609279.Finally, LCM of Fractions for 8919/434, 4441/2419 is 39609279.