Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/99, 12/75, 48/990 quickly i.e. 368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/99, 12/75, 48/990 is 368.
LCM(23/99, 12/75, 48/990) = 368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/99,12/75,48/990
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 23,12,48
Least Common Multiple of Numerators i.e. LCM of 23,12,48 is 1104.
GCF of Denominators means GCF of 99,75,990 as per the given fractions.
GCF of 99,75,990 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,12,48
2 | 23, 12, 48 |
2 | 23, 6, 24 |
3 | 23, 3, 12 |
23, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 4 = 1104
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 23,12,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,12,48) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(23,12,48) x common factors =1 x 12 = 12
LCM(23,12,48) = ( 23 × 12 × 48 ) / 12
LCM(23,12,48) = 13248 / 12
LCM(23,12,48) = 1104
Lets's calculate GCF of 99,75,990
3 | 99, 75, 990 |
33, 25, 330 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1104/3
Therefore the LCM of Fractions 23/99,12/75,48/990 is 368
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
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
Greatest Common Factor
We found the factors 99,75,990 . The biggest common factor number is the GCF number.
So the greatest common factor 99,75,990 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 23/99, 12/75, 48/990?
Answer: LCM of Numerators as per given numbers 23/99, 12/75, 48/990 is
LCM of Numerators i.e. for 23,12,48 is 1104
GCF of denominators i.e. for 99,75,990 is 3.
Thus, LCM of Fractions is 368.Finally, LCM of Fractions for 23/99, 12/75, 48/990 is 368.