Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8673/799, 3122/4353 quickly i.e. 3868158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8673/799, 3122/4353 is 3868158.
LCM(8673/799, 3122/4353) = 3868158
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8673/799,3122/4353
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 8673,3122
Least Common Multiple of Numerators i.e. LCM of 8673,3122 is 3868158.
GCF of Denominators means GCF of 799,4353 as per the given fractions.
GCF of 799,4353 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8673,3122
7 | 8673, 3122 |
1239, 446 |
∴ So the LCM of the given numbers is 7 x 1239 x 446 = 3868158
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 8673,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8673,3122) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(8673,3122) x common factors =7 x 1 = 7
LCM(8673,3122) = ( 8673 × 3122 ) / 7
LCM(8673,3122) = 27077106 / 7
LCM(8673,3122) = 3868158
Lets's calculate GCF of 799,4353
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3868158/1
Therefore the LCM of Fractions 8673/799,3122/4353 is 3868158
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 4353
List of positive integer factors of 4353 that divides 4353 without a remainder.
1,3,1451,4353
Greatest Common Factor
We found the factors 799,4353 . The biggest common factor number is the GCF number.
So the greatest common factor 799,4353 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 8673/799, 3122/4353?
Answer: LCM of Numerators as per given numbers 8673/799, 3122/4353 is
LCM of Numerators i.e. for 8673,3122 is 3868158
GCF of denominators i.e. for 799,4353 is 1.
Thus, LCM of Fractions is 3868158.Finally, LCM of Fractions for 8673/799, 3122/4353 is 3868158.