Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/16, 539/9536 quickly i.e. 21560/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/16, 539/9536 is 21560/16.
LCM(440/16, 539/9536) = 21560/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/16,539/9536
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 440,539
Least Common Multiple of Numerators i.e. LCM of 440,539 is 21560.
GCF of Denominators means GCF of 16,9536 as per the given fractions.
GCF of 16,9536 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,539
11 | 440, 539 |
40, 49 |
∴ So the LCM of the given numbers is 11 x 40 x 49 = 21560
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 440,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,539) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(440,539) x common factors =11 x 1 = 11
LCM(440,539) = ( 440 × 539 ) / 11
LCM(440,539) = 237160 / 11
LCM(440,539) = 21560
Lets's calculate GCF of 16,9536
2 | 16, 9536 |
2 | 8, 4768 |
2 | 4, 2384 |
2 | 2, 1192 |
1, 596 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21560/16
Therefore the LCM of Fractions 440/16,539/9536 is 21560/16
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 9536
List of positive integer factors of 9536 that divides 9536 without a remainder.
1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Greatest Common Factor
We found the factors 16,9536 . The biggest common factor number is the GCF number.
So the greatest common factor 16,9536 is 16.
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 440/16, 539/9536?
Answer: LCM of Numerators as per given numbers 440/16, 539/9536 is
LCM of Numerators i.e. for 440,539 is 21560
GCF of denominators i.e. for 16,9536 is 16.
Thus, LCM of Fractions is 21560/16.Finally, LCM of Fractions for 440/16, 539/9536 is 21560/16.