Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/405, 5035/8824 quickly i.e. 80560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/405, 5035/8824 is 80560.
LCM(16/405, 5035/8824) = 80560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/405,5035/8824
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 16,5035
Least Common Multiple of Numerators i.e. LCM of 16,5035 is 80560.
GCF of Denominators means GCF of 405,8824 as per the given fractions.
GCF of 405,8824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,5035
Given numbers has no common factors except 1. So, there LCM is their product i.e 80560
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 16,5035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,5035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,5035) x common factors =1 x 1 = 1
LCM(16,5035) = ( 16 × 5035 ) / 1
LCM(16,5035) = 80560 / 1
LCM(16,5035) = 80560
Lets's calculate GCF of 405,8824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80560/1
Therefore the LCM of Fractions 16/405,5035/8824 is 80560
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 8824
List of positive integer factors of 8824 that divides 8824 without a remainder.
1,2,4,8,1103,2206,4412,8824
Greatest Common Factor
We found the factors 405,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 405,8824 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 16/405, 5035/8824?
Answer: LCM of Numerators as per given numbers 16/405, 5035/8824 is
LCM of Numerators i.e. for 16,5035 is 80560
GCF of denominators i.e. for 405,8824 is 1.
Thus, LCM of Fractions is 80560.Finally, LCM of Fractions for 16/405, 5035/8824 is 80560.