Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/164, 504/39, 682/593 quickly i.e. 171864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/164, 504/39, 682/593 is 171864.
LCM(14/164, 504/39, 682/593) = 171864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/164,504/39,682/593
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 14,504,682
Least Common Multiple of Numerators i.e. LCM of 14,504,682 is 171864.
GCF of Denominators means GCF of 164,39,593 as per the given fractions.
GCF of 164,39,593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,504,682
2 | 14, 504, 682 |
7 | 7, 252, 341 |
1, 36, 341 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 36 x 341 = 171864
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 14,504,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,504,682) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(14,504,682) x common factors =2 x 14 = 28
LCM(14,504,682) = ( 14 × 504 × 682 ) / 28
LCM(14,504,682) = 4812192 / 28
LCM(14,504,682) = 171864
Lets's calculate GCF of 164,39,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171864/1
Therefore the LCM of Fractions 14/164,504/39,682/593 is 171864
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 164,39,593 . The biggest common factor number is the GCF number.
So the greatest common factor 164,39,593 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 14/164, 504/39, 682/593?
Answer: LCM of Numerators as per given numbers 14/164, 504/39, 682/593 is
LCM of Numerators i.e. for 14,504,682 is 171864
GCF of denominators i.e. for 164,39,593 is 1.
Thus, LCM of Fractions is 171864.Finally, LCM of Fractions for 14/164, 504/39, 682/593 is 171864.