Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/990, 69/384, 272/529 quickly i.e. 93840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/990, 69/384, 272/529 is 93840.
LCM(15/990, 69/384, 272/529) = 93840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/990,69/384,272/529
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 15,69,272
Least Common Multiple of Numerators i.e. LCM of 15,69,272 is 93840.
GCF of Denominators means GCF of 990,384,529 as per the given fractions.
GCF of 990,384,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,69,272
3 | 15, 69, 272 |
5, 23, 272 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 272 = 93840
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 15,69,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,69,272) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,69,272) x common factors =1 x 3 = 3
LCM(15,69,272) = ( 15 × 69 × 272 ) / 3
LCM(15,69,272) = 281520 / 3
LCM(15,69,272) = 93840
Lets's calculate GCF of 990,384,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93840/1
Therefore the LCM of Fractions 15/990,69/384,272/529 is 93840
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 990,384,529 . The biggest common factor number is the GCF number.
So the greatest common factor 990,384,529 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 15/990, 69/384, 272/529?
Answer: LCM of Numerators as per given numbers 15/990, 69/384, 272/529 is
LCM of Numerators i.e. for 15,69,272 is 93840
GCF of denominators i.e. for 990,384,529 is 1.
Thus, LCM of Fractions is 93840.Finally, LCM of Fractions for 15/990, 69/384, 272/529 is 93840.