Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8393/50, 4144/727 quickly i.e. 4968656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8393/50, 4144/727 is 4968656.
LCM(8393/50, 4144/727) = 4968656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8393/50,4144/727
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 8393,4144
Least Common Multiple of Numerators i.e. LCM of 8393,4144 is 4968656.
GCF of Denominators means GCF of 50,727 as per the given fractions.
GCF of 50,727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8393,4144
7 | 8393, 4144 |
1199, 592 |
∴ So the LCM of the given numbers is 7 x 1199 x 592 = 4968656
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 8393,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8393,4144) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(8393,4144) x common factors =7 x 1 = 7
LCM(8393,4144) = ( 8393 × 4144 ) / 7
LCM(8393,4144) = 34780592 / 7
LCM(8393,4144) = 4968656
Lets's calculate GCF of 50,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4968656/1
Therefore the LCM of Fractions 8393/50,4144/727 is 4968656
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 50,727 . The biggest common factor number is the GCF number.
So the greatest common factor 50,727 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 8393/50, 4144/727?
Answer: LCM of Numerators as per given numbers 8393/50, 4144/727 is
LCM of Numerators i.e. for 8393,4144 is 4968656
GCF of denominators i.e. for 50,727 is 1.
Thus, LCM of Fractions is 4968656.Finally, LCM of Fractions for 8393/50, 4144/727 is 4968656.