Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/654, 13/454, 579/471 quickly i.e. 120432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/654, 13/454, 579/471 is 120432.
LCM(16/654, 13/454, 579/471) = 120432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/654,13/454,579/471
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 16,13,579
Least Common Multiple of Numerators i.e. LCM of 16,13,579 is 120432.
GCF of Denominators means GCF of 654,454,471 as per the given fractions.
GCF of 654,454,471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,13,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 120432
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 16,13,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,13,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,13,579) x common factors =1 x 1 = 1
LCM(16,13,579) = ( 16 × 13 × 579 ) / 1
LCM(16,13,579) = 120432 / 1
LCM(16,13,579) = 120432
Lets's calculate GCF of 654,454,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120432/1
Therefore the LCM of Fractions 16/654,13/454,579/471 is 120432
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 654,454,471 . The biggest common factor number is the GCF number.
So the greatest common factor 654,454,471 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 16/654, 13/454, 579/471?
Answer: LCM of Numerators as per given numbers 16/654, 13/454, 579/471 is
LCM of Numerators i.e. for 16,13,579 is 120432
GCF of denominators i.e. for 654,454,471 is 1.
Thus, LCM of Fractions is 120432.Finally, LCM of Fractions for 16/654, 13/454, 579/471 is 120432.