Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6565/34, 1575/616 quickly i.e. 2067975/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6565/34, 1575/616 is 2067975/2.
LCM(6565/34, 1575/616) = 2067975/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6565/34,1575/616
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 6565,1575
Least Common Multiple of Numerators i.e. LCM of 6565,1575 is 2067975.
GCF of Denominators means GCF of 34,616 as per the given fractions.
GCF of 34,616 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6565,1575
5 | 6565, 1575 |
1313, 315 |
∴ So the LCM of the given numbers is 5 x 1313 x 315 = 2067975
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 6565,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6565,1575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(6565,1575) x common factors =5 x 1 = 5
LCM(6565,1575) = ( 6565 × 1575 ) / 5
LCM(6565,1575) = 10339875 / 5
LCM(6565,1575) = 2067975
Lets's calculate GCF of 34,616
2 | 34, 616 |
17, 308 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067975/2
Therefore the LCM of Fractions 6565/34,1575/616 is 2067975/2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 34,616 . The biggest common factor number is the GCF number.
So the greatest common factor 34,616 is 2.
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 6565/34, 1575/616?
Answer: LCM of Numerators as per given numbers 6565/34, 1575/616 is
LCM of Numerators i.e. for 6565,1575 is 2067975
GCF of denominators i.e. for 34,616 is 2.
Thus, LCM of Fractions is 2067975/2.Finally, LCM of Fractions for 6565/34, 1575/616 is 2067975/2.