Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 539/16, 200/32, 438/706 quickly i.e. 11804100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 539/16, 200/32, 438/706 is 11804100.
LCM(539/16, 200/32, 438/706) = 11804100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 539/16,200/32,438/706
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 539,200,438
Least Common Multiple of Numerators i.e. LCM of 539,200,438 is 23608200.
GCF of Denominators means GCF of 16,32,706 as per the given fractions.
GCF of 16,32,706 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 539,200,438
2 | 539, 200, 438 |
539, 100, 219 |
∴ So the LCM of the given numbers is 2 x 539 x 100 x 219 = 23608200
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 539,200,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,200,438) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(539,200,438) x common factors =1 x 2 = 2
LCM(539,200,438) = ( 539 × 200 × 438 ) / 2
LCM(539,200,438) = 47216400 / 2
LCM(539,200,438) = 23608200
Lets's calculate GCF of 16,32,706
2 | 16, 32, 706 |
8, 16, 353 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23608200/2
Therefore the LCM of Fractions 539/16,200/32,438/706 is 11804100
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 16,32,706 . The biggest common factor number is the GCF number.
So the greatest common factor 16,32,706 is 2.
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 539/16, 200/32, 438/706?
Answer: LCM of Numerators as per given numbers 539/16, 200/32, 438/706 is
LCM of Numerators i.e. for 539,200,438 is 23608200
GCF of denominators i.e. for 16,32,706 is 2.
Thus, LCM of Fractions is 11804100.Finally, LCM of Fractions for 539/16, 200/32, 438/706 is 11804100.