Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8219/248, 1427/6637 quickly i.e. 11728513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8219/248, 1427/6637 is 11728513.
LCM(8219/248, 1427/6637) = 11728513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8219/248,1427/6637
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 8219,1427
Least Common Multiple of Numerators i.e. LCM of 8219,1427 is 11728513.
GCF of Denominators means GCF of 248,6637 as per the given fractions.
GCF of 248,6637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8219,1427
Given numbers has no common factors except 1. So, there LCM is their product i.e 11728513
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 8219,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8219,1427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8219,1427) x common factors =1 x 1 = 1
LCM(8219,1427) = ( 8219 × 1427 ) / 1
LCM(8219,1427) = 11728513 / 1
LCM(8219,1427) = 11728513
Lets's calculate GCF of 248,6637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11728513/1
Therefore the LCM of Fractions 8219/248,1427/6637 is 11728513
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 6637
List of positive integer factors of 6637 that divides 6637 without a remainder.
1,6637
Greatest Common Factor
We found the factors 248,6637 . The biggest common factor number is the GCF number.
So the greatest common factor 248,6637 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 8219/248, 1427/6637?
Answer: LCM of Numerators as per given numbers 8219/248, 1427/6637 is
LCM of Numerators i.e. for 8219,1427 is 11728513
GCF of denominators i.e. for 248,6637 is 1.
Thus, LCM of Fractions is 11728513.Finally, LCM of Fractions for 8219/248, 1427/6637 is 11728513.