Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/699, 17/593, 181/588 quickly i.e. 236929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/699, 17/593, 181/588 is 236929.
LCM(77/699, 17/593, 181/588) = 236929
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/699,17/593,181/588
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 77,17,181
Least Common Multiple of Numerators i.e. LCM of 77,17,181 is 236929.
GCF of Denominators means GCF of 699,593,588 as per the given fractions.
GCF of 699,593,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,17,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 236929
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 77,17,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,17,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,17,181) x common factors =1 x 1 = 1
LCM(77,17,181) = ( 77 × 17 × 181 ) / 1
LCM(77,17,181) = 236929 / 1
LCM(77,17,181) = 236929
Lets's calculate GCF of 699,593,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236929/1
Therefore the LCM of Fractions 77/699,17/593,181/588 is 236929
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 699,593,588 . The biggest common factor number is the GCF number.
So the greatest common factor 699,593,588 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 77/699, 17/593, 181/588?
Answer: LCM of Numerators as per given numbers 77/699, 17/593, 181/588 is
LCM of Numerators i.e. for 77,17,181 is 236929
GCF of denominators i.e. for 699,593,588 is 1.
Thus, LCM of Fractions is 236929.Finally, LCM of Fractions for 77/699, 17/593, 181/588 is 236929.