Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8203/397, 1388/460 quickly i.e. 11385764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8203/397, 1388/460 is 11385764.
LCM(8203/397, 1388/460) = 11385764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8203/397,1388/460
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 8203,1388
Least Common Multiple of Numerators i.e. LCM of 8203,1388 is 11385764.
GCF of Denominators means GCF of 397,460 as per the given fractions.
GCF of 397,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8203,1388
Given numbers has no common factors except 1. So, there LCM is their product i.e 11385764
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 8203,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8203,1388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8203,1388) x common factors =1 x 1 = 1
LCM(8203,1388) = ( 8203 × 1388 ) / 1
LCM(8203,1388) = 11385764 / 1
LCM(8203,1388) = 11385764
Lets's calculate GCF of 397,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11385764/1
Therefore the LCM of Fractions 8203/397,1388/460 is 11385764
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 397,460 . The biggest common factor number is the GCF number.
So the greatest common factor 397,460 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 8203/397, 1388/460?
Answer: LCM of Numerators as per given numbers 8203/397, 1388/460 is
LCM of Numerators i.e. for 8203,1388 is 11385764
GCF of denominators i.e. for 397,460 is 1.
Thus, LCM of Fractions is 11385764.Finally, LCM of Fractions for 8203/397, 1388/460 is 11385764.