Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1728/575, 3416/7226 quickly i.e. 737856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1728/575, 3416/7226 is 737856.
LCM(1728/575, 3416/7226) = 737856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1728/575,3416/7226
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 1728,3416
Least Common Multiple of Numerators i.e. LCM of 1728,3416 is 737856.
GCF of Denominators means GCF of 575,7226 as per the given fractions.
GCF of 575,7226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1728,3416
2 | 1728, 3416 |
2 | 864, 1708 |
2 | 432, 854 |
216, 427 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 216 x 427 = 737856
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 1728,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1728,3416) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(1728,3416) x common factors =8 x 1 = 8
LCM(1728,3416) = ( 1728 × 3416 ) / 8
LCM(1728,3416) = 5902848 / 8
LCM(1728,3416) = 737856
Lets's calculate GCF of 575,7226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737856/1
Therefore the LCM of Fractions 1728/575,3416/7226 is 737856
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 7226
List of positive integer factors of 7226 that divides 7226 without a remainder.
1,2,3613,7226
Greatest Common Factor
We found the factors 575,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 575,7226 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 1728/575, 3416/7226?
Answer: LCM of Numerators as per given numbers 1728/575, 3416/7226 is
LCM of Numerators i.e. for 1728,3416 is 737856
GCF of denominators i.e. for 575,7226 is 1.
Thus, LCM of Fractions is 737856.Finally, LCM of Fractions for 1728/575, 3416/7226 is 737856.