Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/513, 9703/657 quickly i.e. 426932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/513, 9703/657 is 426932.
LCM(396/513, 9703/657) = 426932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/513,9703/657
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 396,9703
Least Common Multiple of Numerators i.e. LCM of 396,9703 is 3842388.
GCF of Denominators means GCF of 513,657 as per the given fractions.
GCF of 513,657 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,9703
Given numbers has no common factors except 1. So, there LCM is their product i.e 3842388
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 396,9703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,9703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,9703) x common factors =1 x 1 = 1
LCM(396,9703) = ( 396 × 9703 ) / 1
LCM(396,9703) = 3842388 / 1
LCM(396,9703) = 3842388
Lets's calculate GCF of 513,657
3 | 513, 657 |
3 | 171, 219 |
57, 73 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3842388/9
Therefore the LCM of Fractions 396/513,9703/657 is 426932
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 513,657 . The biggest common factor number is the GCF number.
So the greatest common factor 513,657 is 9.
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 396/513, 9703/657?
Answer: LCM of Numerators as per given numbers 396/513, 9703/657 is
LCM of Numerators i.e. for 396,9703 is 3842388
GCF of denominators i.e. for 513,657 is 9.
Thus, LCM of Fractions is 426932.Finally, LCM of Fractions for 396/513, 9703/657 is 426932.