Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3052/719, 7831/2799 quickly i.e. 23900212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3052/719, 7831/2799 is 23900212.
LCM(3052/719, 7831/2799) = 23900212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3052/719,7831/2799
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 3052,7831
Least Common Multiple of Numerators i.e. LCM of 3052,7831 is 23900212.
GCF of Denominators means GCF of 719,2799 as per the given fractions.
GCF of 719,2799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3052,7831
Given numbers has no common factors except 1. So, there LCM is their product i.e 23900212
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 3052,7831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3052,7831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3052,7831) x common factors =1 x 1 = 1
LCM(3052,7831) = ( 3052 × 7831 ) / 1
LCM(3052,7831) = 23900212 / 1
LCM(3052,7831) = 23900212
Lets's calculate GCF of 719,2799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23900212/1
Therefore the LCM of Fractions 3052/719,7831/2799 is 23900212
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 2799
List of positive integer factors of 2799 that divides 2799 without a remainder.
1,3,9,311,933,2799
Greatest Common Factor
We found the factors 719,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 719,2799 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 3052/719, 7831/2799?
Answer: LCM of Numerators as per given numbers 3052/719, 7831/2799 is
LCM of Numerators i.e. for 3052,7831 is 23900212
GCF of denominators i.e. for 719,2799 is 1.
Thus, LCM of Fractions is 23900212.Finally, LCM of Fractions for 3052/719, 7831/2799 is 23900212.