Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 461/14, 393/5404 quickly i.e. 181173/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 461/14, 393/5404 is 181173/14.
LCM(461/14, 393/5404) = 181173/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 461/14,393/5404
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 461,393
Least Common Multiple of Numerators i.e. LCM of 461,393 is 181173.
GCF of Denominators means GCF of 14,5404 as per the given fractions.
GCF of 14,5404 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 461,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 181173
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 461,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,393) x common factors =1 x 1 = 1
LCM(461,393) = ( 461 × 393 ) / 1
LCM(461,393) = 181173 / 1
LCM(461,393) = 181173
Lets's calculate GCF of 14,5404
2 | 14, 5404 |
7 | 7, 2702 |
1, 386 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181173/14
Therefore the LCM of Fractions 461/14,393/5404 is 181173/14
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 5404
List of positive integer factors of 5404 that divides 5404 without a remainder.
1,2,4,7,14,28,193,386,772,1351,2702,5404
Greatest Common Factor
We found the factors 14,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5404 is 14.
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 461/14, 393/5404?
Answer: LCM of Numerators as per given numbers 461/14, 393/5404 is
LCM of Numerators i.e. for 461,393 is 181173
GCF of denominators i.e. for 14,5404 is 14.
Thus, LCM of Fractions is 181173/14.Finally, LCM of Fractions for 461/14, 393/5404 is 181173/14.