Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2287/383, 8415/4670 quickly i.e. 19245105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2287/383, 8415/4670 is 19245105.
LCM(2287/383, 8415/4670) = 19245105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2287/383,8415/4670
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 2287,8415
Least Common Multiple of Numerators i.e. LCM of 2287,8415 is 19245105.
GCF of Denominators means GCF of 383,4670 as per the given fractions.
GCF of 383,4670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2287,8415
Given numbers has no common factors except 1. So, there LCM is their product i.e 19245105
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 2287,8415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2287,8415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2287,8415) x common factors =1 x 1 = 1
LCM(2287,8415) = ( 2287 × 8415 ) / 1
LCM(2287,8415) = 19245105 / 1
LCM(2287,8415) = 19245105
Lets's calculate GCF of 383,4670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19245105/1
Therefore the LCM of Fractions 2287/383,8415/4670 is 19245105
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 4670
List of positive integer factors of 4670 that divides 4670 without a remainder.
1,2,5,10,467,934,2335,4670
Greatest Common Factor
We found the factors 383,4670 . The biggest common factor number is the GCF number.
So the greatest common factor 383,4670 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 2287/383, 8415/4670?
Answer: LCM of Numerators as per given numbers 2287/383, 8415/4670 is
LCM of Numerators i.e. for 2287,8415 is 19245105
GCF of denominators i.e. for 383,4670 is 1.
Thus, LCM of Fractions is 19245105.Finally, LCM of Fractions for 2287/383, 8415/4670 is 19245105.