Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/923, 948/403 quickly i.e. 124188/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/923, 948/403 is 124188/13.
LCM(393/923, 948/403) = 124188/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/923,948/403
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 393,948
Least Common Multiple of Numerators i.e. LCM of 393,948 is 124188.
GCF of Denominators means GCF of 923,403 as per the given fractions.
GCF of 923,403 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,948
3 | 393, 948 |
131, 316 |
∴ So the LCM of the given numbers is 3 x 131 x 316 = 124188
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 393,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,948) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,948) x common factors =3 x 1 = 3
LCM(393,948) = ( 393 × 948 ) / 3
LCM(393,948) = 372564 / 3
LCM(393,948) = 124188
Lets's calculate GCF of 923,403
13 | 923, 403 |
71, 31 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124188/13
Therefore the LCM of Fractions 393/923,948/403 is 124188/13
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 923,403 . The biggest common factor number is the GCF number.
So the greatest common factor 923,403 is 13.
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 393/923, 948/403?
Answer: LCM of Numerators as per given numbers 393/923, 948/403 is
LCM of Numerators i.e. for 393,948 is 124188
GCF of denominators i.e. for 923,403 is 13.
Thus, LCM of Fractions is 124188/13.Finally, LCM of Fractions for 393/923, 948/403 is 124188/13.