Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 729/58, 576/62, 665/130 quickly i.e. 15513120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 729/58, 576/62, 665/130 is 15513120.
LCM(729/58, 576/62, 665/130) = 15513120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 729/58,576/62,665/130
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 729,576,665
Least Common Multiple of Numerators i.e. LCM of 729,576,665 is 31026240.
GCF of Denominators means GCF of 58,62,130 as per the given fractions.
GCF of 58,62,130 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 729,576,665
3 | 729, 576, 665 |
3 | 243, 192, 665 |
81, 64, 665 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 64 x 665 = 31026240
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 729,576,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,576,665) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(729,576,665) x common factors =1 x 9 = 9
LCM(729,576,665) = ( 729 × 576 × 665 ) / 9
LCM(729,576,665) = 279236160 / 9
LCM(729,576,665) = 31026240
Lets's calculate GCF of 58,62,130
2 | 58, 62, 130 |
29, 31, 65 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31026240/2
Therefore the LCM of Fractions 729/58,576/62,665/130 is 15513120
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 58,62,130 . The biggest common factor number is the GCF number.
So the greatest common factor 58,62,130 is 2.
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 729/58, 576/62, 665/130?
Answer: LCM of Numerators as per given numbers 729/58, 576/62, 665/130 is
LCM of Numerators i.e. for 729,576,665 is 31026240
GCF of denominators i.e. for 58,62,130 is 2.
Thus, LCM of Fractions is 15513120.Finally, LCM of Fractions for 729/58, 576/62, 665/130 is 15513120.