Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/18, 193/14, 184/473 quickly i.e. 29155352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/18, 193/14, 184/473 is 29155352.
LCM(821/18, 193/14, 184/473) = 29155352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/18,193/14,184/473
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 821,193,184
Least Common Multiple of Numerators i.e. LCM of 821,193,184 is 29155352.
GCF of Denominators means GCF of 18,14,473 as per the given fractions.
GCF of 18,14,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,193,184
Given numbers has no common factors except 1. So, there LCM is their product i.e 29155352
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 821,193,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,193,184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,193,184) x common factors =1 x 1 = 1
LCM(821,193,184) = ( 821 × 193 × 184 ) / 1
LCM(821,193,184) = 29155352 / 1
LCM(821,193,184) = 29155352
Lets's calculate GCF of 18,14,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29155352/1
Therefore the LCM of Fractions 821/18,193/14,184/473 is 29155352
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 18,14,473 . The biggest common factor number is the GCF number.
So the greatest common factor 18,14,473 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 821/18, 193/14, 184/473?
Answer: LCM of Numerators as per given numbers 821/18, 193/14, 184/473 is
LCM of Numerators i.e. for 821,193,184 is 29155352
GCF of denominators i.e. for 18,14,473 is 1.
Thus, LCM of Fractions is 29155352.Finally, LCM of Fractions for 821/18, 193/14, 184/473 is 29155352.