Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2311/53, 7360/443 quickly i.e. 17008960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2311/53, 7360/443 is 17008960.
LCM(2311/53, 7360/443) = 17008960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2311/53,7360/443
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 2311,7360
Least Common Multiple of Numerators i.e. LCM of 2311,7360 is 17008960.
GCF of Denominators means GCF of 53,443 as per the given fractions.
GCF of 53,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2311,7360
Given numbers has no common factors except 1. So, there LCM is their product i.e 17008960
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 2311,7360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2311,7360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2311,7360) x common factors =1 x 1 = 1
LCM(2311,7360) = ( 2311 × 7360 ) / 1
LCM(2311,7360) = 17008960 / 1
LCM(2311,7360) = 17008960
Lets's calculate GCF of 53,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17008960/1
Therefore the LCM of Fractions 2311/53,7360/443 is 17008960
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 53,443 . The biggest common factor number is the GCF number.
So the greatest common factor 53,443 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 2311/53, 7360/443?
Answer: LCM of Numerators as per given numbers 2311/53, 7360/443 is
LCM of Numerators i.e. for 2311,7360 is 17008960
GCF of denominators i.e. for 53,443 is 1.
Thus, LCM of Fractions is 17008960.Finally, LCM of Fractions for 2311/53, 7360/443 is 17008960.