Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 330/39, 412/26, 923/171 quickly i.e. 62745540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 330/39, 412/26, 923/171 is 62745540.
LCM(330/39, 412/26, 923/171) = 62745540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 330/39,412/26,923/171
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 330,412,923
Least Common Multiple of Numerators i.e. LCM of 330,412,923 is 62745540.
GCF of Denominators means GCF of 39,26,171 as per the given fractions.
GCF of 39,26,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 330,412,923
2 | 330, 412, 923 |
165, 206, 923 |
∴ So the LCM of the given numbers is 2 x 165 x 206 x 923 = 62745540
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 330,412,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,412,923) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(330,412,923) x common factors =1 x 2 = 2
LCM(330,412,923) = ( 330 × 412 × 923 ) / 2
LCM(330,412,923) = 125491080 / 2
LCM(330,412,923) = 62745540
Lets's calculate GCF of 39,26,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62745540/1
Therefore the LCM of Fractions 330/39,412/26,923/171 is 62745540
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 39,26,171 . The biggest common factor number is the GCF number.
So the greatest common factor 39,26,171 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 330/39, 412/26, 923/171?
Answer: LCM of Numerators as per given numbers 330/39, 412/26, 923/171 is
LCM of Numerators i.e. for 330,412,923 is 62745540
GCF of denominators i.e. for 39,26,171 is 1.
Thus, LCM of Fractions is 62745540.Finally, LCM of Fractions for 330/39, 412/26, 923/171 is 62745540.