Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/41, 321/77, 610/326 quickly i.e. 113765610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/41, 321/77, 610/326 is 113765610.
LCM(581/41, 321/77, 610/326) = 113765610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/41,321/77,610/326
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 581,321,610
Least Common Multiple of Numerators i.e. LCM of 581,321,610 is 113765610.
GCF of Denominators means GCF of 41,77,326 as per the given fractions.
GCF of 41,77,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,321,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 113765610
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 581,321,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,321,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,321,610) x common factors =1 x 1 = 1
LCM(581,321,610) = ( 581 × 321 × 610 ) / 1
LCM(581,321,610) = 113765610 / 1
LCM(581,321,610) = 113765610
Lets's calculate GCF of 41,77,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113765610/1
Therefore the LCM of Fractions 581/41,321/77,610/326 is 113765610
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 41,77,326 . The biggest common factor number is the GCF number.
So the greatest common factor 41,77,326 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 581/41, 321/77, 610/326?
Answer: LCM of Numerators as per given numbers 581/41, 321/77, 610/326 is
LCM of Numerators i.e. for 581,321,610 is 113765610
GCF of denominators i.e. for 41,77,326 is 1.
Thus, LCM of Fractions is 113765610.Finally, LCM of Fractions for 581/41, 321/77, 610/326 is 113765610.