Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 729/82, 106/72, 257/592 quickly i.e. 9929709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 729/82, 106/72, 257/592 is 9929709.
LCM(729/82, 106/72, 257/592) = 9929709
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 729/82,106/72,257/592
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 729,106,257
Least Common Multiple of Numerators i.e. LCM of 729,106,257 is 19859418.
GCF of Denominators means GCF of 82,72,592 as per the given fractions.
GCF of 82,72,592 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 729,106,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 19859418
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 729,106,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,106,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,106,257) x common factors =1 x 1 = 1
LCM(729,106,257) = ( 729 × 106 × 257 ) / 1
LCM(729,106,257) = 19859418 / 1
LCM(729,106,257) = 19859418
Lets's calculate GCF of 82,72,592
2 | 82, 72, 592 |
41, 36, 296 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19859418/2
Therefore the LCM of Fractions 729/82,106/72,257/592 is 9929709
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 82,72,592 . The biggest common factor number is the GCF number.
So the greatest common factor 82,72,592 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 729/82, 106/72, 257/592?
Answer: LCM of Numerators as per given numbers 729/82, 106/72, 257/592 is
LCM of Numerators i.e. for 729,106,257 is 19859418
GCF of denominators i.e. for 82,72,592 is 2.
Thus, LCM of Fractions is 9929709.Finally, LCM of Fractions for 729/82, 106/72, 257/592 is 9929709.