Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3968/758, 5693/431 quickly i.e. 22589824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3968/758, 5693/431 is 22589824.
LCM(3968/758, 5693/431) = 22589824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3968/758,5693/431
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 3968,5693
Least Common Multiple of Numerators i.e. LCM of 3968,5693 is 22589824.
GCF of Denominators means GCF of 758,431 as per the given fractions.
GCF of 758,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3968,5693
Given numbers has no common factors except 1. So, there LCM is their product i.e 22589824
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 3968,5693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3968,5693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3968,5693) x common factors =1 x 1 = 1
LCM(3968,5693) = ( 3968 × 5693 ) / 1
LCM(3968,5693) = 22589824 / 1
LCM(3968,5693) = 22589824
Lets's calculate GCF of 758,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22589824/1
Therefore the LCM of Fractions 3968/758,5693/431 is 22589824
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 758,431 . The biggest common factor number is the GCF number.
So the greatest common factor 758,431 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 3968/758, 5693/431?
Answer: LCM of Numerators as per given numbers 3968/758, 5693/431 is
LCM of Numerators i.e. for 3968,5693 is 22589824
GCF of denominators i.e. for 758,431 is 1.
Thus, LCM of Fractions is 22589824.Finally, LCM of Fractions for 3968/758, 5693/431 is 22589824.