Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/465, 89/218, 327/575 quickly i.e. 960399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/465, 89/218, 327/575 is 960399.
LCM(99/465, 89/218, 327/575) = 960399
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/465,89/218,327/575
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 99,89,327
Least Common Multiple of Numerators i.e. LCM of 99,89,327 is 960399.
GCF of Denominators means GCF of 465,218,575 as per the given fractions.
GCF of 465,218,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,89,327
3 | 99, 89, 327 |
33, 89, 109 |
∴ So the LCM of the given numbers is 3 x 33 x 89 x 109 = 960399
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 99,89,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,89,327) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,89,327) x common factors =1 x 3 = 3
LCM(99,89,327) = ( 99 × 89 × 327 ) / 3
LCM(99,89,327) = 2881197 / 3
LCM(99,89,327) = 960399
Lets's calculate GCF of 465,218,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960399/1
Therefore the LCM of Fractions 99/465,89/218,327/575 is 960399
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 465,218,575 . The biggest common factor number is the GCF number.
So the greatest common factor 465,218,575 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 99/465, 89/218, 327/575?
Answer: LCM of Numerators as per given numbers 99/465, 89/218, 327/575 is
LCM of Numerators i.e. for 99,89,327 is 960399
GCF of denominators i.e. for 465,218,575 is 1.
Thus, LCM of Fractions is 960399.Finally, LCM of Fractions for 99/465, 89/218, 327/575 is 960399.