Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/324, 18/649, 415/663 quickly i.e. 231570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/324, 18/649, 415/663 is 231570.
LCM(93/324, 18/649, 415/663) = 231570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/324,18/649,415/663
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 93,18,415
Least Common Multiple of Numerators i.e. LCM of 93,18,415 is 231570.
GCF of Denominators means GCF of 324,649,663 as per the given fractions.
GCF of 324,649,663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,18,415
3 | 93, 18, 415 |
31, 6, 415 |
∴ So the LCM of the given numbers is 3 x 31 x 6 x 415 = 231570
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 93,18,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,18,415) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,18,415) x common factors =1 x 3 = 3
LCM(93,18,415) = ( 93 × 18 × 415 ) / 3
LCM(93,18,415) = 694710 / 3
LCM(93,18,415) = 231570
Lets's calculate GCF of 324,649,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231570/1
Therefore the LCM of Fractions 93/324,18/649,415/663 is 231570
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 324,649,663 . The biggest common factor number is the GCF number.
So the greatest common factor 324,649,663 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 93/324, 18/649, 415/663?
Answer: LCM of Numerators as per given numbers 93/324, 18/649, 415/663 is
LCM of Numerators i.e. for 93,18,415 is 231570
GCF of denominators i.e. for 324,649,663 is 1.
Thus, LCM of Fractions is 231570.Finally, LCM of Fractions for 93/324, 18/649, 415/663 is 231570.