Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 449/14, 595/26, 538/193 quickly i.e. 143729390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 449/14, 595/26, 538/193 is 143729390.
LCM(449/14, 595/26, 538/193) = 143729390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 449/14,595/26,538/193
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 449,595,538
Least Common Multiple of Numerators i.e. LCM of 449,595,538 is 143729390.
GCF of Denominators means GCF of 14,26,193 as per the given fractions.
GCF of 14,26,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 449,595,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 143729390
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 449,595,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,595,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,595,538) x common factors =1 x 1 = 1
LCM(449,595,538) = ( 449 × 595 × 538 ) / 1
LCM(449,595,538) = 143729390 / 1
LCM(449,595,538) = 143729390
Lets's calculate GCF of 14,26,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143729390/1
Therefore the LCM of Fractions 449/14,595/26,538/193 is 143729390
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 14,26,193 . The biggest common factor number is the GCF number.
So the greatest common factor 14,26,193 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 449/14, 595/26, 538/193?
Answer: LCM of Numerators as per given numbers 449/14, 595/26, 538/193 is
LCM of Numerators i.e. for 449,595,538 is 143729390
GCF of denominators i.e. for 14,26,193 is 1.
Thus, LCM of Fractions is 143729390.Finally, LCM of Fractions for 449/14, 595/26, 538/193 is 143729390.