Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2408/423, 9991/3319 quickly i.e. 24058328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2408/423, 9991/3319 is 24058328.
LCM(2408/423, 9991/3319) = 24058328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2408/423,9991/3319
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 2408,9991
Least Common Multiple of Numerators i.e. LCM of 2408,9991 is 24058328.
GCF of Denominators means GCF of 423,3319 as per the given fractions.
GCF of 423,3319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2408,9991
Given numbers has no common factors except 1. So, there LCM is their product i.e 24058328
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 2408,9991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2408,9991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2408,9991) x common factors =1 x 1 = 1
LCM(2408,9991) = ( 2408 × 9991 ) / 1
LCM(2408,9991) = 24058328 / 1
LCM(2408,9991) = 24058328
Lets's calculate GCF of 423,3319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24058328/1
Therefore the LCM of Fractions 2408/423,9991/3319 is 24058328
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 3319
List of positive integer factors of 3319 that divides 3319 without a remainder.
1,3319
Greatest Common Factor
We found the factors 423,3319 . The biggest common factor number is the GCF number.
So the greatest common factor 423,3319 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 2408/423, 9991/3319?
Answer: LCM of Numerators as per given numbers 2408/423, 9991/3319 is
LCM of Numerators i.e. for 2408,9991 is 24058328
GCF of denominators i.e. for 423,3319 is 1.
Thus, LCM of Fractions is 24058328.Finally, LCM of Fractions for 2408/423, 9991/3319 is 24058328.