Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 443/999, 2478/791 quickly i.e. 1097754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 443/999, 2478/791 is 1097754.
LCM(443/999, 2478/791) = 1097754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 443/999,2478/791
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 443,2478
Least Common Multiple of Numerators i.e. LCM of 443,2478 is 1097754.
GCF of Denominators means GCF of 999,791 as per the given fractions.
GCF of 999,791 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 443,2478
Given numbers has no common factors except 1. So, there LCM is their product i.e 1097754
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 443,2478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,2478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,2478) x common factors =1 x 1 = 1
LCM(443,2478) = ( 443 × 2478 ) / 1
LCM(443,2478) = 1097754 / 1
LCM(443,2478) = 1097754
Lets's calculate GCF of 999,791
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1097754/1
Therefore the LCM of Fractions 443/999,2478/791 is 1097754
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Greatest Common Factor
We found the factors 999,791 . The biggest common factor number is the GCF number.
So the greatest common factor 999,791 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 443/999, 2478/791?
Answer: LCM of Numerators as per given numbers 443/999, 2478/791 is
LCM of Numerators i.e. for 443,2478 is 1097754
GCF of denominators i.e. for 999,791 is 1.
Thus, LCM of Fractions is 1097754.Finally, LCM of Fractions for 443/999, 2478/791 is 1097754.