Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/34, 16/489, 467/863 quickly i.e. 396016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/34, 16/489, 467/863 is 396016.
LCM(53/34, 16/489, 467/863) = 396016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/34,16/489,467/863
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 53,16,467
Least Common Multiple of Numerators i.e. LCM of 53,16,467 is 396016.
GCF of Denominators means GCF of 34,489,863 as per the given fractions.
GCF of 34,489,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,16,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 396016
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 53,16,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,16,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,16,467) x common factors =1 x 1 = 1
LCM(53,16,467) = ( 53 × 16 × 467 ) / 1
LCM(53,16,467) = 396016 / 1
LCM(53,16,467) = 396016
Lets's calculate GCF of 34,489,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396016/1
Therefore the LCM of Fractions 53/34,16/489,467/863 is 396016
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 34,489,863 . The biggest common factor number is the GCF number.
So the greatest common factor 34,489,863 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 53/34, 16/489, 467/863?
Answer: LCM of Numerators as per given numbers 53/34, 16/489, 467/863 is
LCM of Numerators i.e. for 53,16,467 is 396016
GCF of denominators i.e. for 34,489,863 is 1.
Thus, LCM of Fractions is 396016.Finally, LCM of Fractions for 53/34, 16/489, 467/863 is 396016.