Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 683/64, 535/9729 quickly i.e. 365405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 683/64, 535/9729 is 365405.
LCM(683/64, 535/9729) = 365405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 683/64,535/9729
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 683,535
Least Common Multiple of Numerators i.e. LCM of 683,535 is 365405.
GCF of Denominators means GCF of 64,9729 as per the given fractions.
GCF of 64,9729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 683,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 365405
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 683,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,535) x common factors =1 x 1 = 1
LCM(683,535) = ( 683 × 535 ) / 1
LCM(683,535) = 365405 / 1
LCM(683,535) = 365405
Lets's calculate GCF of 64,9729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365405/1
Therefore the LCM of Fractions 683/64,535/9729 is 365405
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 9729
List of positive integer factors of 9729 that divides 9729 without a remainder.
1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 64,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 64,9729 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 683/64, 535/9729?
Answer: LCM of Numerators as per given numbers 683/64, 535/9729 is
LCM of Numerators i.e. for 683,535 is 365405
GCF of denominators i.e. for 64,9729 is 1.
Thus, LCM of Fractions is 365405.Finally, LCM of Fractions for 683/64, 535/9729 is 365405.