Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/576, 93/998, 316/375 quickly i.e. 382044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/576, 93/998, 316/375 is 382044.
LCM(13/576, 93/998, 316/375) = 382044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/576,93/998,316/375
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 13,93,316
Least Common Multiple of Numerators i.e. LCM of 13,93,316 is 382044.
GCF of Denominators means GCF of 576,998,375 as per the given fractions.
GCF of 576,998,375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,93,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 382044
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 13,93,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,93,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,93,316) x common factors =1 x 1 = 1
LCM(13,93,316) = ( 13 × 93 × 316 ) / 1
LCM(13,93,316) = 382044 / 1
LCM(13,93,316) = 382044
Lets's calculate GCF of 576,998,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382044/1
Therefore the LCM of Fractions 13/576,93/998,316/375 is 382044
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 576,998,375 . The biggest common factor number is the GCF number.
So the greatest common factor 576,998,375 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 13/576, 93/998, 316/375?
Answer: LCM of Numerators as per given numbers 13/576, 93/998, 316/375 is
LCM of Numerators i.e. for 13,93,316 is 382044
GCF of denominators i.e. for 576,998,375 is 1.
Thus, LCM of Fractions is 382044.Finally, LCM of Fractions for 13/576, 93/998, 316/375 is 382044.