Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 487/96, 729/1575 quickly i.e. 118341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 487/96, 729/1575 is 118341.
LCM(487/96, 729/1575) = 118341
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 487/96,729/1575
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 487,729
Least Common Multiple of Numerators i.e. LCM of 487,729 is 355023.
GCF of Denominators means GCF of 96,1575 as per the given fractions.
GCF of 96,1575 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 487,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 355023
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 487,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,729) x common factors =1 x 1 = 1
LCM(487,729) = ( 487 × 729 ) / 1
LCM(487,729) = 355023 / 1
LCM(487,729) = 355023
Lets's calculate GCF of 96,1575
3 | 96, 1575 |
32, 525 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355023/3
Therefore the LCM of Fractions 487/96,729/1575 is 118341
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 1575
List of positive integer factors of 1575 that divides 1575 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Greatest Common Factor
We found the factors 96,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1575 is 3.
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 487/96, 729/1575?
Answer: LCM of Numerators as per given numbers 487/96, 729/1575 is
LCM of Numerators i.e. for 487,729 is 355023
GCF of denominators i.e. for 96,1575 is 3.
Thus, LCM of Fractions is 118341.Finally, LCM of Fractions for 487/96, 729/1575 is 118341.