Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/17, 540/14, 269/389 quickly i.e. 20772180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/17, 540/14, 269/389 is 20772180.
LCM(143/17, 540/14, 269/389) = 20772180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/17,540/14,269/389
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 143,540,269
Least Common Multiple of Numerators i.e. LCM of 143,540,269 is 20772180.
GCF of Denominators means GCF of 17,14,389 as per the given fractions.
GCF of 17,14,389 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,540,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 20772180
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 143,540,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,540,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,540,269) x common factors =1 x 1 = 1
LCM(143,540,269) = ( 143 × 540 × 269 ) / 1
LCM(143,540,269) = 20772180 / 1
LCM(143,540,269) = 20772180
Lets's calculate GCF of 17,14,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20772180/1
Therefore the LCM of Fractions 143/17,540/14,269/389 is 20772180
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 17,14,389 . The biggest common factor number is the GCF number.
So the greatest common factor 17,14,389 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 143/17, 540/14, 269/389?
Answer: LCM of Numerators as per given numbers 143/17, 540/14, 269/389 is
LCM of Numerators i.e. for 143,540,269 is 20772180
GCF of denominators i.e. for 17,14,389 is 1.
Thus, LCM of Fractions is 20772180.Finally, LCM of Fractions for 143/17, 540/14, 269/389 is 20772180.