Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/589, 527/576, 104/208 quickly i.e. 4768296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/589, 527/576, 104/208 is 4768296.
LCM(87/589, 527/576, 104/208) = 4768296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/589,527/576,104/208
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 87,527,104
Least Common Multiple of Numerators i.e. LCM of 87,527,104 is 4768296.
GCF of Denominators means GCF of 589,576,208 as per the given fractions.
GCF of 589,576,208 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,527,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 4768296
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 87,527,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,527,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,527,104) x common factors =1 x 1 = 1
LCM(87,527,104) = ( 87 × 527 × 104 ) / 1
LCM(87,527,104) = 4768296 / 1
LCM(87,527,104) = 4768296
Lets's calculate GCF of 589,576,208
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4768296/1
Therefore the LCM of Fractions 87/589,527/576,104/208 is 4768296
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 589,576,208 . The biggest common factor number is the GCF number.
So the greatest common factor 589,576,208 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 87/589, 527/576, 104/208?
Answer: LCM of Numerators as per given numbers 87/589, 527/576, 104/208 is
LCM of Numerators i.e. for 87,527,104 is 4768296
GCF of denominators i.e. for 589,576,208 is 1.
Thus, LCM of Fractions is 4768296.Finally, LCM of Fractions for 87/589, 527/576, 104/208 is 4768296.