Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 631/16, 297/99, 291/79 quickly i.e. 18178479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 631/16, 297/99, 291/79 is 18178479.
LCM(631/16, 297/99, 291/79) = 18178479
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 631/16,297/99,291/79
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 631,297,291
Least Common Multiple of Numerators i.e. LCM of 631,297,291 is 18178479.
GCF of Denominators means GCF of 16,99,79 as per the given fractions.
GCF of 16,99,79 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 631,297,291
3 | 631, 297, 291 |
631, 99, 97 |
∴ So the LCM of the given numbers is 3 x 631 x 99 x 97 = 18178479
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 631,297,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,297,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(631,297,291) x common factors =1 x 3 = 3
LCM(631,297,291) = ( 631 × 297 × 291 ) / 3
LCM(631,297,291) = 54535437 / 3
LCM(631,297,291) = 18178479
Lets's calculate GCF of 16,99,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18178479/1
Therefore the LCM of Fractions 631/16,297/99,291/79 is 18178479
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 16,99,79 . The biggest common factor number is the GCF number.
So the greatest common factor 16,99,79 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 631/16, 297/99, 291/79?
Answer: LCM of Numerators as per given numbers 631/16, 297/99, 291/79 is
LCM of Numerators i.e. for 631,297,291 is 18178479
GCF of denominators i.e. for 16,99,79 is 1.
Thus, LCM of Fractions is 18178479.Finally, LCM of Fractions for 631/16, 297/99, 291/79 is 18178479.