Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 419/32, 410/51, 815/204 quickly i.e. 28001770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 419/32, 410/51, 815/204 is 28001770.
LCM(419/32, 410/51, 815/204) = 28001770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 419/32,410/51,815/204
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 419,410,815
Least Common Multiple of Numerators i.e. LCM of 419,410,815 is 28001770.
GCF of Denominators means GCF of 32,51,204 as per the given fractions.
GCF of 32,51,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 419,410,815
5 | 419, 410, 815 |
419, 82, 163 |
∴ So the LCM of the given numbers is 5 x 419 x 82 x 163 = 28001770
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 419,410,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,410,815) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(419,410,815) x common factors =1 x 5 = 5
LCM(419,410,815) = ( 419 × 410 × 815 ) / 5
LCM(419,410,815) = 140008850 / 5
LCM(419,410,815) = 28001770
Lets's calculate GCF of 32,51,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28001770/1
Therefore the LCM of Fractions 419/32,410/51,815/204 is 28001770
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 32,51,204 . The biggest common factor number is the GCF number.
So the greatest common factor 32,51,204 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 419/32, 410/51, 815/204?
Answer: LCM of Numerators as per given numbers 419/32, 410/51, 815/204 is
LCM of Numerators i.e. for 419,410,815 is 28001770
GCF of denominators i.e. for 32,51,204 is 1.
Thus, LCM of Fractions is 28001770.Finally, LCM of Fractions for 419/32, 410/51, 815/204 is 28001770.