Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/522, 2479/8117 quickly i.e. 195841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/522, 2479/8117 is 195841.
LCM(79/522, 2479/8117) = 195841
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/522,2479/8117
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 79,2479
Least Common Multiple of Numerators i.e. LCM of 79,2479 is 195841.
GCF of Denominators means GCF of 522,8117 as per the given fractions.
GCF of 522,8117 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,2479
Given numbers has no common factors except 1. So, there LCM is their product i.e 195841
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 79,2479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,2479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,2479) x common factors =1 x 1 = 1
LCM(79,2479) = ( 79 × 2479 ) / 1
LCM(79,2479) = 195841 / 1
LCM(79,2479) = 195841
Lets's calculate GCF of 522,8117
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195841/1
Therefore the LCM of Fractions 79/522,2479/8117 is 195841
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 8117
List of positive integer factors of 8117 that divides 8117 without a remainder.
1,8117
Greatest Common Factor
We found the factors 522,8117 . The biggest common factor number is the GCF number.
So the greatest common factor 522,8117 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 79/522, 2479/8117?
Answer: LCM of Numerators as per given numbers 79/522, 2479/8117 is
LCM of Numerators i.e. for 79,2479 is 195841
GCF of denominators i.e. for 522,8117 is 1.
Thus, LCM of Fractions is 195841.Finally, LCM of Fractions for 79/522, 2479/8117 is 195841.