Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1731/288, 1115/4057 quickly i.e. 1930065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1731/288, 1115/4057 is 1930065.
LCM(1731/288, 1115/4057) = 1930065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1731/288,1115/4057
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 1731,1115
Least Common Multiple of Numerators i.e. LCM of 1731,1115 is 1930065.
GCF of Denominators means GCF of 288,4057 as per the given fractions.
GCF of 288,4057 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1731,1115
Given numbers has no common factors except 1. So, there LCM is their product i.e 1930065
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 1731,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1731,1115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1731,1115) x common factors =1 x 1 = 1
LCM(1731,1115) = ( 1731 × 1115 ) / 1
LCM(1731,1115) = 1930065 / 1
LCM(1731,1115) = 1930065
Lets's calculate GCF of 288,4057
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1930065/1
Therefore the LCM of Fractions 1731/288,1115/4057 is 1930065
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 4057
List of positive integer factors of 4057 that divides 4057 without a remainder.
1,4057
Greatest Common Factor
We found the factors 288,4057 . The biggest common factor number is the GCF number.
So the greatest common factor 288,4057 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 1731/288, 1115/4057?
Answer: LCM of Numerators as per given numbers 1731/288, 1115/4057 is
LCM of Numerators i.e. for 1731,1115 is 1930065
GCF of denominators i.e. for 288,4057 is 1.
Thus, LCM of Fractions is 1930065.Finally, LCM of Fractions for 1731/288, 1115/4057 is 1930065.