Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 281/365, 8637/1536 quickly i.e. 2426997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 281/365, 8637/1536 is 2426997.
LCM(281/365, 8637/1536) = 2426997
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 281/365,8637/1536
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 281,8637
Least Common Multiple of Numerators i.e. LCM of 281,8637 is 2426997.
GCF of Denominators means GCF of 365,1536 as per the given fractions.
GCF of 365,1536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 281,8637
Given numbers has no common factors except 1. So, there LCM is their product i.e 2426997
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 281,8637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,8637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,8637) x common factors =1 x 1 = 1
LCM(281,8637) = ( 281 × 8637 ) / 1
LCM(281,8637) = 2426997 / 1
LCM(281,8637) = 2426997
Lets's calculate GCF of 365,1536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2426997/1
Therefore the LCM of Fractions 281/365,8637/1536 is 2426997
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 1536
List of positive integer factors of 1536 that divides 1536 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Greatest Common Factor
We found the factors 365,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 365,1536 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 281/365, 8637/1536?
Answer: LCM of Numerators as per given numbers 281/365, 8637/1536 is
LCM of Numerators i.e. for 281,8637 is 2426997
GCF of denominators i.e. for 365,1536 is 1.
Thus, LCM of Fractions is 2426997.Finally, LCM of Fractions for 281/365, 8637/1536 is 2426997.