Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/843, 59/717 quickly i.e. 531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/843, 59/717 is 531.
LCM(27/843, 59/717) = 531
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/843,59/717
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 27,59
Least Common Multiple of Numerators i.e. LCM of 27,59 is 1593.
GCF of Denominators means GCF of 843,717 as per the given fractions.
GCF of 843,717 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 1593
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 27,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,59) x common factors =1 x 1 = 1
LCM(27,59) = ( 27 × 59 ) / 1
LCM(27,59) = 1593 / 1
LCM(27,59) = 1593
Lets's calculate GCF of 843,717
3 | 843, 717 |
281, 239 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1593/3
Therefore the LCM of Fractions 27/843,59/717 is 531
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Greatest Common Factor
We found the factors 843,717 . The biggest common factor number is the GCF number.
So the greatest common factor 843,717 is 3.
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 27/843, 59/717?
Answer: LCM of Numerators as per given numbers 27/843, 59/717 is
LCM of Numerators i.e. for 27,59 is 1593
GCF of denominators i.e. for 843,717 is 3.
Thus, LCM of Fractions is 531.Finally, LCM of Fractions for 27/843, 59/717 is 531.