Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 305/27, 769/2405 quickly i.e. 234545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 305/27, 769/2405 is 234545.
LCM(305/27, 769/2405) = 234545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 305/27,769/2405
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 305,769
Least Common Multiple of Numerators i.e. LCM of 305,769 is 234545.
GCF of Denominators means GCF of 27,2405 as per the given fractions.
GCF of 27,2405 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 305,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 234545
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 305,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,769) x common factors =1 x 1 = 1
LCM(305,769) = ( 305 × 769 ) / 1
LCM(305,769) = 234545 / 1
LCM(305,769) = 234545
Lets's calculate GCF of 27,2405
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234545/1
Therefore the LCM of Fractions 305/27,769/2405 is 234545
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 2405
List of positive integer factors of 2405 that divides 2405 without a remainder.
1,5,13,37,65,185,481,2405
Greatest Common Factor
We found the factors 27,2405 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2405 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 305/27, 769/2405?
Answer: LCM of Numerators as per given numbers 305/27, 769/2405 is
LCM of Numerators i.e. for 305,769 is 234545
GCF of denominators i.e. for 27,2405 is 1.
Thus, LCM of Fractions is 234545.Finally, LCM of Fractions for 305/27, 769/2405 is 234545.