Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 693/86, 327/2503 quickly i.e. 75537 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 693/86, 327/2503 is 75537.
LCM(693/86, 327/2503) = 75537
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 693/86,327/2503
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 693,327
Least Common Multiple of Numerators i.e. LCM of 693,327 is 75537.
GCF of Denominators means GCF of 86,2503 as per the given fractions.
GCF of 86,2503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 693,327
3 | 693, 327 |
231, 109 |
∴ So the LCM of the given numbers is 3 x 231 x 109 = 75537
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 693,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,327) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(693,327) x common factors =3 x 1 = 3
LCM(693,327) = ( 693 × 327 ) / 3
LCM(693,327) = 226611 / 3
LCM(693,327) = 75537
Lets's calculate GCF of 86,2503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75537/1
Therefore the LCM of Fractions 693/86,327/2503 is 75537
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 2503
List of positive integer factors of 2503 that divides 2503 without a remainder.
1,2503
Greatest Common Factor
We found the factors 86,2503 . The biggest common factor number is the GCF number.
So the greatest common factor 86,2503 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 693/86, 327/2503?
Answer: LCM of Numerators as per given numbers 693/86, 327/2503 is
LCM of Numerators i.e. for 693,327 is 75537
GCF of denominators i.e. for 86,2503 is 1.
Thus, LCM of Fractions is 75537.Finally, LCM of Fractions for 693/86, 327/2503 is 75537.