Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/663, 13/364, 481/181 quickly i.e. 33189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/663, 13/364, 481/181 is 33189.
LCM(69/663, 13/364, 481/181) = 33189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/663,13/364,481/181
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 69,13,481
Least Common Multiple of Numerators i.e. LCM of 69,13,481 is 33189.
GCF of Denominators means GCF of 663,364,181 as per the given fractions.
GCF of 663,364,181 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,13,481
13 | 69, 13, 481 |
69, 1, 37 |
∴ So the LCM of the given numbers is 13 x 69 x 1 x 37 = 33189
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 69,13,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,13,481) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(69,13,481) x common factors =1 x 13 = 13
LCM(69,13,481) = ( 69 × 13 × 481 ) / 13
LCM(69,13,481) = 431457 / 13
LCM(69,13,481) = 33189
Lets's calculate GCF of 663,364,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33189/1
Therefore the LCM of Fractions 69/663,13/364,481/181 is 33189
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 663,364,181 . The biggest common factor number is the GCF number.
So the greatest common factor 663,364,181 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 69/663, 13/364, 481/181?
Answer: LCM of Numerators as per given numbers 69/663, 13/364, 481/181 is
LCM of Numerators i.e. for 69,13,481 is 33189
GCF of denominators i.e. for 663,364,181 is 1.
Thus, LCM of Fractions is 33189.Finally, LCM of Fractions for 69/663, 13/364, 481/181 is 33189.