Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 181/586, 3433/159 quickly i.e. 621373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 181/586, 3433/159 is 621373.
LCM(181/586, 3433/159) = 621373
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 181/586,3433/159
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 181,3433
Least Common Multiple of Numerators i.e. LCM of 181,3433 is 621373.
GCF of Denominators means GCF of 586,159 as per the given fractions.
GCF of 586,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 181,3433
Given numbers has no common factors except 1. So, there LCM is their product i.e 621373
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 181,3433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,3433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,3433) x common factors =1 x 1 = 1
LCM(181,3433) = ( 181 × 3433 ) / 1
LCM(181,3433) = 621373 / 1
LCM(181,3433) = 621373
Lets's calculate GCF of 586,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621373/1
Therefore the LCM of Fractions 181/586,3433/159 is 621373
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 586,159 . The biggest common factor number is the GCF number.
So the greatest common factor 586,159 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 181/586, 3433/159?
Answer: LCM of Numerators as per given numbers 181/586, 3433/159 is
LCM of Numerators i.e. for 181,3433 is 621373
GCF of denominators i.e. for 586,159 is 1.
Thus, LCM of Fractions is 621373.Finally, LCM of Fractions for 181/586, 3433/159 is 621373.