Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6720/617, 6317/6577 quickly i.e. 42450240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6720/617, 6317/6577 is 42450240.
LCM(6720/617, 6317/6577) = 42450240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6720/617,6317/6577
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 6720,6317
Least Common Multiple of Numerators i.e. LCM of 6720,6317 is 42450240.
GCF of Denominators means GCF of 617,6577 as per the given fractions.
GCF of 617,6577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6720,6317
Given numbers has no common factors except 1. So, there LCM is their product i.e 42450240
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 6720,6317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6720,6317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6720,6317) x common factors =1 x 1 = 1
LCM(6720,6317) = ( 6720 × 6317 ) / 1
LCM(6720,6317) = 42450240 / 1
LCM(6720,6317) = 42450240
Lets's calculate GCF of 617,6577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42450240/1
Therefore the LCM of Fractions 6720/617,6317/6577 is 42450240
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 6577
List of positive integer factors of 6577 that divides 6577 without a remainder.
1,6577
Greatest Common Factor
We found the factors 617,6577 . The biggest common factor number is the GCF number.
So the greatest common factor 617,6577 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 6720/617, 6317/6577?
Answer: LCM of Numerators as per given numbers 6720/617, 6317/6577 is
LCM of Numerators i.e. for 6720,6317 is 42450240
GCF of denominators i.e. for 617,6577 is 1.
Thus, LCM of Fractions is 42450240.Finally, LCM of Fractions for 6720/617, 6317/6577 is 42450240.