Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/18, 419/46, 743/851 quickly i.e. 7160291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/18, 419/46, 743/851 is 7160291.
LCM(23/18, 419/46, 743/851) = 7160291
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/18,419/46,743/851
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 23,419,743
Least Common Multiple of Numerators i.e. LCM of 23,419,743 is 7160291.
GCF of Denominators means GCF of 18,46,851 as per the given fractions.
GCF of 18,46,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,419,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 7160291
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 23,419,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,419,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,419,743) x common factors =1 x 1 = 1
LCM(23,419,743) = ( 23 × 419 × 743 ) / 1
LCM(23,419,743) = 7160291 / 1
LCM(23,419,743) = 7160291
Lets's calculate GCF of 18,46,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7160291/1
Therefore the LCM of Fractions 23/18,419/46,743/851 is 7160291
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 18,46,851 . The biggest common factor number is the GCF number.
So the greatest common factor 18,46,851 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 23/18, 419/46, 743/851?
Answer: LCM of Numerators as per given numbers 23/18, 419/46, 743/851 is
LCM of Numerators i.e. for 23,419,743 is 7160291
GCF of denominators i.e. for 18,46,851 is 1.
Thus, LCM of Fractions is 7160291.Finally, LCM of Fractions for 23/18, 419/46, 743/851 is 7160291.