Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 369/514, 7032/5923 quickly i.e. 864936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 369/514, 7032/5923 is 864936.
LCM(369/514, 7032/5923) = 864936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 369/514,7032/5923
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 369,7032
Least Common Multiple of Numerators i.e. LCM of 369,7032 is 864936.
GCF of Denominators means GCF of 514,5923 as per the given fractions.
GCF of 514,5923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 369,7032
3 | 369, 7032 |
123, 2344 |
∴ So the LCM of the given numbers is 3 x 123 x 2344 = 864936
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 369,7032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,7032) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,7032) x common factors =3 x 1 = 3
LCM(369,7032) = ( 369 × 7032 ) / 3
LCM(369,7032) = 2594808 / 3
LCM(369,7032) = 864936
Lets's calculate GCF of 514,5923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864936/1
Therefore the LCM of Fractions 369/514,7032/5923 is 864936
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 5923
List of positive integer factors of 5923 that divides 5923 without a remainder.
1,5923
Greatest Common Factor
We found the factors 514,5923 . The biggest common factor number is the GCF number.
So the greatest common factor 514,5923 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 369/514, 7032/5923?
Answer: LCM of Numerators as per given numbers 369/514, 7032/5923 is
LCM of Numerators i.e. for 369,7032 is 864936
GCF of denominators i.e. for 514,5923 is 1.
Thus, LCM of Fractions is 864936.Finally, LCM of Fractions for 369/514, 7032/5923 is 864936.