Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/299, 935/142, 559/559 quickly i.e. 522665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/299, 935/142, 559/559 is 522665.
LCM(85/299, 935/142, 559/559) = 522665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/299,935/142,559/559
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 85,935,559
Least Common Multiple of Numerators i.e. LCM of 85,935,559 is 522665.
GCF of Denominators means GCF of 299,142,559 as per the given fractions.
GCF of 299,142,559 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,935,559
5 | 85, 935, 559 |
17 | 17, 187, 559 |
1, 11, 559 |
∴ So the LCM of the given numbers is 5 x 17 x 1 x 11 x 559 = 522665
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 85,935,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,935,559) = 1
common factors(in case of two or more numbers have common factors) = 85
GCF(85,935,559) x common factors =1 x 85 = 85
LCM(85,935,559) = ( 85 × 935 × 559 ) / 85
LCM(85,935,559) = 44426525 / 85
LCM(85,935,559) = 522665
Lets's calculate GCF of 299,142,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522665/1
Therefore the LCM of Fractions 85/299,935/142,559/559 is 522665
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 299,142,559 . The biggest common factor number is the GCF number.
So the greatest common factor 299,142,559 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 85/299, 935/142, 559/559?
Answer: LCM of Numerators as per given numbers 85/299, 935/142, 559/559 is
LCM of Numerators i.e. for 85,935,559 is 522665
GCF of denominators i.e. for 299,142,559 is 1.
Thus, LCM of Fractions is 522665.Finally, LCM of Fractions for 85/299, 935/142, 559/559 is 522665.