Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/505, 7381/9531 quickly i.e. 7381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/505, 7381/9531 is 7381.
LCM(11/505, 7381/9531) = 7381
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/505,7381/9531
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 11,7381
Least Common Multiple of Numerators i.e. LCM of 11,7381 is 7381.
GCF of Denominators means GCF of 505,9531 as per the given fractions.
GCF of 505,9531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,7381
11 | 11, 7381 |
1, 671 |
∴ So the LCM of the given numbers is 11 x 1 x 671 = 7381
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 11,7381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,7381) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(11,7381) x common factors =11 x 1 = 11
LCM(11,7381) = ( 11 × 7381 ) / 11
LCM(11,7381) = 81191 / 11
LCM(11,7381) = 7381
Lets's calculate GCF of 505,9531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7381/1
Therefore the LCM of Fractions 11/505,7381/9531 is 7381
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 9531
List of positive integer factors of 9531 that divides 9531 without a remainder.
1,3,9,27,353,1059,3177,9531
Greatest Common Factor
We found the factors 505,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 505,9531 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 11/505, 7381/9531?
Answer: LCM of Numerators as per given numbers 11/505, 7381/9531 is
LCM of Numerators i.e. for 11,7381 is 7381
GCF of denominators i.e. for 505,9531 is 1.
Thus, LCM of Fractions is 7381.Finally, LCM of Fractions for 11/505, 7381/9531 is 7381.