Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/469, 33/110, 189/359 quickly i.e. 33264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/469, 33/110, 189/359 is 33264.
LCM(16/469, 33/110, 189/359) = 33264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/469,33/110,189/359
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 16,33,189
Least Common Multiple of Numerators i.e. LCM of 16,33,189 is 33264.
GCF of Denominators means GCF of 469,110,359 as per the given fractions.
GCF of 469,110,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,33,189
3 | 16, 33, 189 |
16, 11, 63 |
∴ So the LCM of the given numbers is 3 x 16 x 11 x 63 = 33264
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 16,33,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,33,189) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(16,33,189) x common factors =1 x 3 = 3
LCM(16,33,189) = ( 16 × 33 × 189 ) / 3
LCM(16,33,189) = 99792 / 3
LCM(16,33,189) = 33264
Lets's calculate GCF of 469,110,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33264/1
Therefore the LCM of Fractions 16/469,33/110,189/359 is 33264
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 469,110,359 . The biggest common factor number is the GCF number.
So the greatest common factor 469,110,359 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 16/469, 33/110, 189/359?
Answer: LCM of Numerators as per given numbers 16/469, 33/110, 189/359 is
LCM of Numerators i.e. for 16,33,189 is 33264
GCF of denominators i.e. for 469,110,359 is 1.
Thus, LCM of Fractions is 33264.Finally, LCM of Fractions for 16/469, 33/110, 189/359 is 33264.