Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2486/439, 4604/1235 quickly i.e. 5722772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2486/439, 4604/1235 is 5722772.
LCM(2486/439, 4604/1235) = 5722772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2486/439,4604/1235
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 2486,4604
Least Common Multiple of Numerators i.e. LCM of 2486,4604 is 5722772.
GCF of Denominators means GCF of 439,1235 as per the given fractions.
GCF of 439,1235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2486,4604
2 | 2486, 4604 |
1243, 2302 |
∴ So the LCM of the given numbers is 2 x 1243 x 2302 = 5722772
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 2486,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2486,4604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2486,4604) x common factors =2 x 1 = 2
LCM(2486,4604) = ( 2486 × 4604 ) / 2
LCM(2486,4604) = 11445544 / 2
LCM(2486,4604) = 5722772
Lets's calculate GCF of 439,1235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5722772/1
Therefore the LCM of Fractions 2486/439,4604/1235 is 5722772
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 1235
List of positive integer factors of 1235 that divides 1235 without a remainder.
1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 439,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 439,1235 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 2486/439, 4604/1235?
Answer: LCM of Numerators as per given numbers 2486/439, 4604/1235 is
LCM of Numerators i.e. for 2486,4604 is 5722772
GCF of denominators i.e. for 439,1235 is 1.
Thus, LCM of Fractions is 5722772.Finally, LCM of Fractions for 2486/439, 4604/1235 is 5722772.