Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/15, 636/54, 612/33 quickly i.e. 3557148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/15, 636/54, 612/33 is 3557148.
LCM(329/15, 636/54, 612/33) = 3557148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/15,636/54,612/33
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 329,636,612
Least Common Multiple of Numerators i.e. LCM of 329,636,612 is 10671444.
GCF of Denominators means GCF of 15,54,33 as per the given fractions.
GCF of 15,54,33 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,636,612
2 | 329, 636, 612 |
2 | 329, 318, 306 |
3 | 329, 159, 153 |
329, 53, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 329 x 53 x 51 = 10671444
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 329,636,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,636,612) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(329,636,612) x common factors =1 x 12 = 12
LCM(329,636,612) = ( 329 × 636 × 612 ) / 12
LCM(329,636,612) = 128057328 / 12
LCM(329,636,612) = 10671444
Lets's calculate GCF of 15,54,33
3 | 15, 54, 33 |
5, 18, 11 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10671444/3
Therefore the LCM of Fractions 329/15,636/54,612/33 is 3557148
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Greatest Common Factor
We found the factors 15,54,33 . The biggest common factor number is the GCF number.
So the greatest common factor 15,54,33 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 329/15, 636/54, 612/33?
Answer: LCM of Numerators as per given numbers 329/15, 636/54, 612/33 is
LCM of Numerators i.e. for 329,636,612 is 10671444
GCF of denominators i.e. for 15,54,33 is 3.
Thus, LCM of Fractions is 3557148.Finally, LCM of Fractions for 329/15, 636/54, 612/33 is 3557148.