Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/41, 106/30, 306/816 quickly i.e. 16218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/41, 106/30, 306/816 is 16218.
LCM(53/41, 106/30, 306/816) = 16218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/41,106/30,306/816
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 53,106,306
Least Common Multiple of Numerators i.e. LCM of 53,106,306 is 16218.
GCF of Denominators means GCF of 41,30,816 as per the given fractions.
GCF of 41,30,816 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,106,306
2 | 53, 106, 306 |
53 | 53, 53, 153 |
1, 1, 153 |
∴ So the LCM of the given numbers is 2 x 53 x 1 x 1 x 153 = 16218
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 53,106,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,106,306) = 1
common factors(in case of two or more numbers have common factors) = 106
GCF(53,106,306) x common factors =1 x 106 = 106
LCM(53,106,306) = ( 53 × 106 × 306 ) / 106
LCM(53,106,306) = 1719108 / 106
LCM(53,106,306) = 16218
Lets's calculate GCF of 41,30,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16218/1
Therefore the LCM of Fractions 53/41,106/30,306/816 is 16218
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 41,30,816 . The biggest common factor number is the GCF number.
So the greatest common factor 41,30,816 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 53/41, 106/30, 306/816?
Answer: LCM of Numerators as per given numbers 53/41, 106/30, 306/816 is
LCM of Numerators i.e. for 53,106,306 is 16218
GCF of denominators i.e. for 41,30,816 is 1.
Thus, LCM of Fractions is 16218.Finally, LCM of Fractions for 53/41, 106/30, 306/816 is 16218.