Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 824/447, 4869/5788 quickly i.e. 4012056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 824/447, 4869/5788 is 4012056.
LCM(824/447, 4869/5788) = 4012056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 824/447,4869/5788
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 824,4869
Least Common Multiple of Numerators i.e. LCM of 824,4869 is 4012056.
GCF of Denominators means GCF of 447,5788 as per the given fractions.
GCF of 447,5788 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 824,4869
Given numbers has no common factors except 1. So, there LCM is their product i.e 4012056
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 824,4869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,4869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,4869) x common factors =1 x 1 = 1
LCM(824,4869) = ( 824 × 4869 ) / 1
LCM(824,4869) = 4012056 / 1
LCM(824,4869) = 4012056
Lets's calculate GCF of 447,5788
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4012056/1
Therefore the LCM of Fractions 824/447,4869/5788 is 4012056
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 447,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 447,5788 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 824/447, 4869/5788?
Answer: LCM of Numerators as per given numbers 824/447, 4869/5788 is
LCM of Numerators i.e. for 824,4869 is 4012056
GCF of denominators i.e. for 447,5788 is 1.
Thus, LCM of Fractions is 4012056.Finally, LCM of Fractions for 824/447, 4869/5788 is 4012056.