Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3204/736, 2057/3065 quickly i.e. 6590628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3204/736, 2057/3065 is 6590628.
LCM(3204/736, 2057/3065) = 6590628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3204/736,2057/3065
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 3204,2057
Least Common Multiple of Numerators i.e. LCM of 3204,2057 is 6590628.
GCF of Denominators means GCF of 736,3065 as per the given fractions.
GCF of 736,3065 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3204,2057
Given numbers has no common factors except 1. So, there LCM is their product i.e 6590628
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 3204,2057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3204,2057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3204,2057) x common factors =1 x 1 = 1
LCM(3204,2057) = ( 3204 × 2057 ) / 1
LCM(3204,2057) = 6590628 / 1
LCM(3204,2057) = 6590628
Lets's calculate GCF of 736,3065
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6590628/1
Therefore the LCM of Fractions 3204/736,2057/3065 is 6590628
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 3065
List of positive integer factors of 3065 that divides 3065 without a remainder.
1,5,613,3065
Greatest Common Factor
We found the factors 736,3065 . The biggest common factor number is the GCF number.
So the greatest common factor 736,3065 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 3204/736, 2057/3065?
Answer: LCM of Numerators as per given numbers 3204/736, 2057/3065 is
LCM of Numerators i.e. for 3204,2057 is 6590628
GCF of denominators i.e. for 736,3065 is 1.
Thus, LCM of Fractions is 6590628.Finally, LCM of Fractions for 3204/736, 2057/3065 is 6590628.