Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/80, 976/6579 quickly i.e. 643184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/80, 976/6579 is 643184.
LCM(659/80, 976/6579) = 643184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/80,976/6579
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 659,976
Least Common Multiple of Numerators i.e. LCM of 659,976 is 643184.
GCF of Denominators means GCF of 80,6579 as per the given fractions.
GCF of 80,6579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 643184
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 659,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,976) x common factors =1 x 1 = 1
LCM(659,976) = ( 659 × 976 ) / 1
LCM(659,976) = 643184 / 1
LCM(659,976) = 643184
Lets's calculate GCF of 80,6579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643184/1
Therefore the LCM of Fractions 659/80,976/6579 is 643184
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 6579
List of positive integer factors of 6579 that divides 6579 without a remainder.
1,3,9,17,43,51,129,153,387,731,2193,6579
Greatest Common Factor
We found the factors 80,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 80,6579 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 659/80, 976/6579?
Answer: LCM of Numerators as per given numbers 659/80, 976/6579 is
LCM of Numerators i.e. for 659,976 is 643184
GCF of denominators i.e. for 80,6579 is 1.
Thus, LCM of Fractions is 643184.Finally, LCM of Fractions for 659/80, 976/6579 is 643184.