Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 816/423, 3684/810 quickly i.e. 250512/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 816/423, 3684/810 is 250512/9.
LCM(816/423, 3684/810) = 250512/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 816/423,3684/810
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 816,3684
Least Common Multiple of Numerators i.e. LCM of 816,3684 is 250512.
GCF of Denominators means GCF of 423,810 as per the given fractions.
GCF of 423,810 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 816,3684
2 | 816, 3684 |
2 | 408, 1842 |
3 | 204, 921 |
68, 307 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 68 x 307 = 250512
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 816,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,3684) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(816,3684) x common factors =12 x 1 = 12
LCM(816,3684) = ( 816 × 3684 ) / 12
LCM(816,3684) = 3006144 / 12
LCM(816,3684) = 250512
Lets's calculate GCF of 423,810
3 | 423, 810 |
3 | 141, 270 |
47, 90 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250512/9
Therefore the LCM of Fractions 816/423,3684/810 is 250512/9
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 423,810 . The biggest common factor number is the GCF number.
So the greatest common factor 423,810 is 9.
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 816/423, 3684/810?
Answer: LCM of Numerators as per given numbers 816/423, 3684/810 is
LCM of Numerators i.e. for 816,3684 is 250512
GCF of denominators i.e. for 423,810 is 9.
Thus, LCM of Fractions is 250512/9.Finally, LCM of Fractions for 816/423, 3684/810 is 250512/9.