Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7820/283, 2079/8552 quickly i.e. 16257780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7820/283, 2079/8552 is 16257780.
LCM(7820/283, 2079/8552) = 16257780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7820/283,2079/8552
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 7820,2079
Least Common Multiple of Numerators i.e. LCM of 7820,2079 is 16257780.
GCF of Denominators means GCF of 283,8552 as per the given fractions.
GCF of 283,8552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7820,2079
Given numbers has no common factors except 1. So, there LCM is their product i.e 16257780
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 7820,2079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7820,2079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7820,2079) x common factors =1 x 1 = 1
LCM(7820,2079) = ( 7820 × 2079 ) / 1
LCM(7820,2079) = 16257780 / 1
LCM(7820,2079) = 16257780
Lets's calculate GCF of 283,8552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16257780/1
Therefore the LCM of Fractions 7820/283,2079/8552 is 16257780
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1,2,4,8,1069,2138,4276,8552
Greatest Common Factor
We found the factors 283,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 283,8552 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 7820/283, 2079/8552?
Answer: LCM of Numerators as per given numbers 7820/283, 2079/8552 is
LCM of Numerators i.e. for 7820,2079 is 16257780
GCF of denominators i.e. for 283,8552 is 1.
Thus, LCM of Fractions is 16257780.Finally, LCM of Fractions for 7820/283, 2079/8552 is 16257780.