Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/944, 3856/2641 quickly i.e. 204368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/944, 3856/2641 is 204368.
LCM(53/944, 3856/2641) = 204368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/944,3856/2641
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 53,3856
Least Common Multiple of Numerators i.e. LCM of 53,3856 is 204368.
GCF of Denominators means GCF of 944,2641 as per the given fractions.
GCF of 944,2641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,3856
Given numbers has no common factors except 1. So, there LCM is their product i.e 204368
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 53,3856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,3856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,3856) x common factors =1 x 1 = 1
LCM(53,3856) = ( 53 × 3856 ) / 1
LCM(53,3856) = 204368 / 1
LCM(53,3856) = 204368
Lets's calculate GCF of 944,2641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204368/1
Therefore the LCM of Fractions 53/944,3856/2641 is 204368
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 2641
List of positive integer factors of 2641 that divides 2641 without a remainder.
1,19,139,2641
Greatest Common Factor
We found the factors 944,2641 . The biggest common factor number is the GCF number.
So the greatest common factor 944,2641 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 53/944, 3856/2641?
Answer: LCM of Numerators as per given numbers 53/944, 3856/2641 is
LCM of Numerators i.e. for 53,3856 is 204368
GCF of denominators i.e. for 944,2641 is 1.
Thus, LCM of Fractions is 204368.Finally, LCM of Fractions for 53/944, 3856/2641 is 204368.