Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 813/36, 957/7237 quickly i.e. 259347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 813/36, 957/7237 is 259347.
LCM(813/36, 957/7237) = 259347
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 813/36,957/7237
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 813,957
Least Common Multiple of Numerators i.e. LCM of 813,957 is 259347.
GCF of Denominators means GCF of 36,7237 as per the given fractions.
GCF of 36,7237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 813,957
3 | 813, 957 |
271, 319 |
∴ So the LCM of the given numbers is 3 x 271 x 319 = 259347
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 813,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,957) x common factors =3 x 1 = 3
LCM(813,957) = ( 813 × 957 ) / 3
LCM(813,957) = 778041 / 3
LCM(813,957) = 259347
Lets's calculate GCF of 36,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259347/1
Therefore the LCM of Fractions 813/36,957/7237 is 259347
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 7237
List of positive integer factors of 7237 that divides 7237 without a remainder.
1,7237
Greatest Common Factor
We found the factors 36,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 36,7237 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 813/36, 957/7237?
Answer: LCM of Numerators as per given numbers 813/36, 957/7237 is
LCM of Numerators i.e. for 813,957 is 259347
GCF of denominators i.e. for 36,7237 is 1.
Thus, LCM of Fractions is 259347.Finally, LCM of Fractions for 813/36, 957/7237 is 259347.