Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4327/766, 8008/4823 quickly i.e. 34650616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4327/766, 8008/4823 is 34650616.
LCM(4327/766, 8008/4823) = 34650616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4327/766,8008/4823
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 4327,8008
Least Common Multiple of Numerators i.e. LCM of 4327,8008 is 34650616.
GCF of Denominators means GCF of 766,4823 as per the given fractions.
GCF of 766,4823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4327,8008
Given numbers has no common factors except 1. So, there LCM is their product i.e 34650616
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 4327,8008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4327,8008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4327,8008) x common factors =1 x 1 = 1
LCM(4327,8008) = ( 4327 × 8008 ) / 1
LCM(4327,8008) = 34650616 / 1
LCM(4327,8008) = 34650616
Lets's calculate GCF of 766,4823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34650616/1
Therefore the LCM of Fractions 4327/766,8008/4823 is 34650616
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 4823
List of positive integer factors of 4823 that divides 4823 without a remainder.
1,7,13,53,91,371,689,4823
Greatest Common Factor
We found the factors 766,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 766,4823 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 4327/766, 8008/4823?
Answer: LCM of Numerators as per given numbers 4327/766, 8008/4823 is
LCM of Numerators i.e. for 4327,8008 is 34650616
GCF of denominators i.e. for 766,4823 is 1.
Thus, LCM of Fractions is 34650616.Finally, LCM of Fractions for 4327/766, 8008/4823 is 34650616.