Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1241/256, 8595/819 quickly i.e. 10666395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1241/256, 8595/819 is 10666395.
LCM(1241/256, 8595/819) = 10666395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1241/256,8595/819
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 1241,8595
Least Common Multiple of Numerators i.e. LCM of 1241,8595 is 10666395.
GCF of Denominators means GCF of 256,819 as per the given fractions.
GCF of 256,819 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1241,8595
Given numbers has no common factors except 1. So, there LCM is their product i.e 10666395
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 1241,8595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1241,8595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1241,8595) x common factors =1 x 1 = 1
LCM(1241,8595) = ( 1241 × 8595 ) / 1
LCM(1241,8595) = 10666395 / 1
LCM(1241,8595) = 10666395
Lets's calculate GCF of 256,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10666395/1
Therefore the LCM of Fractions 1241/256,8595/819 is 10666395
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 256,819 . The biggest common factor number is the GCF number.
So the greatest common factor 256,819 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 1241/256, 8595/819?
Answer: LCM of Numerators as per given numbers 1241/256, 8595/819 is
LCM of Numerators i.e. for 1241,8595 is 10666395
GCF of denominators i.e. for 256,819 is 1.
Thus, LCM of Fractions is 10666395.Finally, LCM of Fractions for 1241/256, 8595/819 is 10666395.