Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/419, 31/494, 471/887 quickly i.e. 481833 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/419, 31/494, 471/887 is 481833.
LCM(99/419, 31/494, 471/887) = 481833
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/419,31/494,471/887
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 99,31,471
Least Common Multiple of Numerators i.e. LCM of 99,31,471 is 481833.
GCF of Denominators means GCF of 419,494,887 as per the given fractions.
GCF of 419,494,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,31,471
3 | 99, 31, 471 |
33, 31, 157 |
∴ So the LCM of the given numbers is 3 x 33 x 31 x 157 = 481833
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 99,31,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,31,471) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,31,471) x common factors =1 x 3 = 3
LCM(99,31,471) = ( 99 × 31 × 471 ) / 3
LCM(99,31,471) = 1445499 / 3
LCM(99,31,471) = 481833
Lets's calculate GCF of 419,494,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481833/1
Therefore the LCM of Fractions 99/419,31/494,471/887 is 481833
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 419,494,887 . The biggest common factor number is the GCF number.
So the greatest common factor 419,494,887 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 99/419, 31/494, 471/887?
Answer: LCM of Numerators as per given numbers 99/419, 31/494, 471/887 is
LCM of Numerators i.e. for 99,31,471 is 481833
GCF of denominators i.e. for 419,494,887 is 1.
Thus, LCM of Fractions is 481833.Finally, LCM of Fractions for 99/419, 31/494, 471/887 is 481833.