Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/462, 9591/6729 quickly i.e. 105501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/462, 9591/6729 is 105501.
LCM(99/462, 9591/6729) = 105501
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/462,9591/6729
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 99,9591
Least Common Multiple of Numerators i.e. LCM of 99,9591 is 316503.
GCF of Denominators means GCF of 462,6729 as per the given fractions.
GCF of 462,6729 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,9591
3 | 99, 9591 |
33, 3197 |
∴ So the LCM of the given numbers is 3 x 33 x 3197 = 316503
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 99,9591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,9591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,9591) x common factors =3 x 1 = 3
LCM(99,9591) = ( 99 × 9591 ) / 3
LCM(99,9591) = 949509 / 3
LCM(99,9591) = 316503
Lets's calculate GCF of 462,6729
3 | 462, 6729 |
154, 2243 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316503/3
Therefore the LCM of Fractions 99/462,9591/6729 is 105501
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 6729
List of positive integer factors of 6729 that divides 6729 without a remainder.
1,3,2243,6729
Greatest Common Factor
We found the factors 462,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 462,6729 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 99/462, 9591/6729?
Answer: LCM of Numerators as per given numbers 99/462, 9591/6729 is
LCM of Numerators i.e. for 99,9591 is 316503
GCF of denominators i.e. for 462,6729 is 3.
Thus, LCM of Fractions is 105501.Finally, LCM of Fractions for 99/462, 9591/6729 is 105501.