Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/52, 71/579, 85/704 quickly i.e. 18105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/52, 71/579, 85/704 is 18105.
LCM(3/52, 71/579, 85/704) = 18105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/52,71/579,85/704
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 3,71,85
Least Common Multiple of Numerators i.e. LCM of 3,71,85 is 18105.
GCF of Denominators means GCF of 52,579,704 as per the given fractions.
GCF of 52,579,704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,71,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 18105
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 3,71,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,71,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,71,85) x common factors =1 x 1 = 1
LCM(3,71,85) = ( 3 × 71 × 85 ) / 1
LCM(3,71,85) = 18105 / 1
LCM(3,71,85) = 18105
Lets's calculate GCF of 52,579,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18105/1
Therefore the LCM of Fractions 3/52,71/579,85/704 is 18105
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 52,579,704 . The biggest common factor number is the GCF number.
So the greatest common factor 52,579,704 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 3/52, 71/579, 85/704?
Answer: LCM of Numerators as per given numbers 3/52, 71/579, 85/704 is
LCM of Numerators i.e. for 3,71,85 is 18105
GCF of denominators i.e. for 52,579,704 is 1.
Thus, LCM of Fractions is 18105.Finally, LCM of Fractions for 3/52, 71/579, 85/704 is 18105.