Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/675, 17/163, 769/592 quickly i.e. 261460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/675, 17/163, 769/592 is 261460.
LCM(20/675, 17/163, 769/592) = 261460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/675,17/163,769/592
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 20,17,769
Least Common Multiple of Numerators i.e. LCM of 20,17,769 is 261460.
GCF of Denominators means GCF of 675,163,592 as per the given fractions.
GCF of 675,163,592 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,17,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 261460
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 20,17,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,17,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,17,769) x common factors =1 x 1 = 1
LCM(20,17,769) = ( 20 × 17 × 769 ) / 1
LCM(20,17,769) = 261460 / 1
LCM(20,17,769) = 261460
Lets's calculate GCF of 675,163,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261460/1
Therefore the LCM of Fractions 20/675,17/163,769/592 is 261460
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 675,163,592 . The biggest common factor number is the GCF number.
So the greatest common factor 675,163,592 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 20/675, 17/163, 769/592?
Answer: LCM of Numerators as per given numbers 20/675, 17/163, 769/592 is
LCM of Numerators i.e. for 20,17,769 is 261460
GCF of denominators i.e. for 675,163,592 is 1.
Thus, LCM of Fractions is 261460.Finally, LCM of Fractions for 20/675, 17/163, 769/592 is 261460.