Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/166, 1533/485 quickly i.e. 127239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/166, 1533/485 is 127239.
LCM(581/166, 1533/485) = 127239
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/166,1533/485
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 581,1533
Least Common Multiple of Numerators i.e. LCM of 581,1533 is 127239.
GCF of Denominators means GCF of 166,485 as per the given fractions.
GCF of 166,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,1533
7 | 581, 1533 |
83, 219 |
∴ So the LCM of the given numbers is 7 x 83 x 219 = 127239
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 581,1533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,1533) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,1533) x common factors =7 x 1 = 7
LCM(581,1533) = ( 581 × 1533 ) / 7
LCM(581,1533) = 890673 / 7
LCM(581,1533) = 127239
Lets's calculate GCF of 166,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127239/1
Therefore the LCM of Fractions 581/166,1533/485 is 127239
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 166,485 . The biggest common factor number is the GCF number.
So the greatest common factor 166,485 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 581/166, 1533/485?
Answer: LCM of Numerators as per given numbers 581/166, 1533/485 is
LCM of Numerators i.e. for 581,1533 is 127239
GCF of denominators i.e. for 166,485 is 1.
Thus, LCM of Fractions is 127239.Finally, LCM of Fractions for 581/166, 1533/485 is 127239.