Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7280/794, 8399/7073 quickly i.e. 61144720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7280/794, 8399/7073 is 61144720.
LCM(7280/794, 8399/7073) = 61144720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7280/794,8399/7073
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 7280,8399
Least Common Multiple of Numerators i.e. LCM of 7280,8399 is 61144720.
GCF of Denominators means GCF of 794,7073 as per the given fractions.
GCF of 794,7073 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7280,8399
Given numbers has no common factors except 1. So, there LCM is their product i.e 61144720
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 7280,8399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7280,8399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7280,8399) x common factors =1 x 1 = 1
LCM(7280,8399) = ( 7280 × 8399 ) / 1
LCM(7280,8399) = 61144720 / 1
LCM(7280,8399) = 61144720
Lets's calculate GCF of 794,7073
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61144720/1
Therefore the LCM of Fractions 7280/794,8399/7073 is 61144720
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Greatest Common Factor
We found the factors 794,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 794,7073 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 7280/794, 8399/7073?
Answer: LCM of Numerators as per given numbers 7280/794, 8399/7073 is
LCM of Numerators i.e. for 7280,8399 is 61144720
GCF of denominators i.e. for 794,7073 is 1.
Thus, LCM of Fractions is 61144720.Finally, LCM of Fractions for 7280/794, 8399/7073 is 61144720.