Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7713/588, 9216/361 quickly i.e. 7898112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7713/588, 9216/361 is 7898112.
LCM(7713/588, 9216/361) = 7898112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7713/588,9216/361
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 7713,9216
Least Common Multiple of Numerators i.e. LCM of 7713,9216 is 7898112.
GCF of Denominators means GCF of 588,361 as per the given fractions.
GCF of 588,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7713,9216
3 | 7713, 9216 |
3 | 2571, 3072 |
857, 1024 |
∴ So the LCM of the given numbers is 3 x 3 x 857 x 1024 = 7898112
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 7713,9216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7713,9216) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(7713,9216) x common factors =9 x 1 = 9
LCM(7713,9216) = ( 7713 × 9216 ) / 9
LCM(7713,9216) = 71083008 / 9
LCM(7713,9216) = 7898112
Lets's calculate GCF of 588,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7898112/1
Therefore the LCM of Fractions 7713/588,9216/361 is 7898112
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 588,361 . The biggest common factor number is the GCF number.
So the greatest common factor 588,361 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 7713/588, 9216/361?
Answer: LCM of Numerators as per given numbers 7713/588, 9216/361 is
LCM of Numerators i.e. for 7713,9216 is 7898112
GCF of denominators i.e. for 588,361 is 1.
Thus, LCM of Fractions is 7898112.Finally, LCM of Fractions for 7713/588, 9216/361 is 7898112.