Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/437, 3961/928 quickly i.e. 2301341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/437, 3961/928 is 2301341.
LCM(581/437, 3961/928) = 2301341
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/437,3961/928
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 581,3961
Least Common Multiple of Numerators i.e. LCM of 581,3961 is 2301341.
GCF of Denominators means GCF of 437,928 as per the given fractions.
GCF of 437,928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,3961
Given numbers has no common factors except 1. So, there LCM is their product i.e 2301341
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 581,3961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,3961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,3961) x common factors =1 x 1 = 1
LCM(581,3961) = ( 581 × 3961 ) / 1
LCM(581,3961) = 2301341 / 1
LCM(581,3961) = 2301341
Lets's calculate GCF of 437,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2301341/1
Therefore the LCM of Fractions 581/437,3961/928 is 2301341
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 437,928 . The biggest common factor number is the GCF number.
So the greatest common factor 437,928 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 581/437, 3961/928?
Answer: LCM of Numerators as per given numbers 581/437, 3961/928 is
LCM of Numerators i.e. for 581,3961 is 2301341
GCF of denominators i.e. for 437,928 is 1.
Thus, LCM of Fractions is 2301341.Finally, LCM of Fractions for 581/437, 3961/928 is 2301341.