Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/481, 717/737, 675/598 quickly i.e. 1774575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/481, 717/737, 675/598 is 1774575.
LCM(99/481, 717/737, 675/598) = 1774575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/481,717/737,675/598
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 99,717,675
Least Common Multiple of Numerators i.e. LCM of 99,717,675 is 1774575.
GCF of Denominators means GCF of 481,737,598 as per the given fractions.
GCF of 481,737,598 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,717,675
3 | 99, 717, 675 |
3 | 33, 239, 225 |
11, 239, 75 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 239 x 75 = 1774575
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 99,717,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,717,675) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(99,717,675) x common factors =3 x 9 = 27
LCM(99,717,675) = ( 99 × 717 × 675 ) / 27
LCM(99,717,675) = 47913525 / 27
LCM(99,717,675) = 1774575
Lets's calculate GCF of 481,737,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1774575/1
Therefore the LCM of Fractions 99/481,717/737,675/598 is 1774575
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 481,737,598 . The biggest common factor number is the GCF number.
So the greatest common factor 481,737,598 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 99/481, 717/737, 675/598?
Answer: LCM of Numerators as per given numbers 99/481, 717/737, 675/598 is
LCM of Numerators i.e. for 99,717,675 is 1774575
GCF of denominators i.e. for 481,737,598 is 1.
Thus, LCM of Fractions is 1774575.Finally, LCM of Fractions for 99/481, 717/737, 675/598 is 1774575.