Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/883, 5449/1725 quickly i.e. 87184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/883, 5449/1725 is 87184.
LCM(16/883, 5449/1725) = 87184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/883,5449/1725
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 16,5449
Least Common Multiple of Numerators i.e. LCM of 16,5449 is 87184.
GCF of Denominators means GCF of 883,1725 as per the given fractions.
GCF of 883,1725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,5449
Given numbers has no common factors except 1. So, there LCM is their product i.e 87184
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 16,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,5449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,5449) x common factors =1 x 1 = 1
LCM(16,5449) = ( 16 × 5449 ) / 1
LCM(16,5449) = 87184 / 1
LCM(16,5449) = 87184
Lets's calculate GCF of 883,1725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87184/1
Therefore the LCM of Fractions 16/883,5449/1725 is 87184
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 1725
List of positive integer factors of 1725 that divides 1725 without a remainder.
1,3,5,15,23,25,69,75,115,345,575,1725
Greatest Common Factor
We found the factors 883,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 883,1725 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 16/883, 5449/1725?
Answer: LCM of Numerators as per given numbers 16/883, 5449/1725 is
LCM of Numerators i.e. for 16,5449 is 87184
GCF of denominators i.e. for 883,1725 is 1.
Thus, LCM of Fractions is 87184.Finally, LCM of Fractions for 16/883, 5449/1725 is 87184.