Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 324/20, 882/8148 quickly i.e. 3969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 324/20, 882/8148 is 3969.
LCM(324/20, 882/8148) = 3969
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 324/20,882/8148
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 324,882
Least Common Multiple of Numerators i.e. LCM of 324,882 is 15876.
GCF of Denominators means GCF of 20,8148 as per the given fractions.
GCF of 20,8148 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 324,882
2 | 324, 882 |
3 | 162, 441 |
3 | 54, 147 |
18, 49 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 18 x 49 = 15876
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 324,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,882) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(324,882) x common factors =18 x 1 = 18
LCM(324,882) = ( 324 × 882 ) / 18
LCM(324,882) = 285768 / 18
LCM(324,882) = 15876
Lets's calculate GCF of 20,8148
2 | 20, 8148 |
2 | 10, 4074 |
5, 2037 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15876/4
Therefore the LCM of Fractions 324/20,882/8148 is 3969
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 8148
List of positive integer factors of 8148 that divides 8148 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors 20,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 20,8148 is 4.
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 324/20, 882/8148?
Answer: LCM of Numerators as per given numbers 324/20, 882/8148 is
LCM of Numerators i.e. for 324,882 is 15876
GCF of denominators i.e. for 20,8148 is 4.
Thus, LCM of Fractions is 3969.Finally, LCM of Fractions for 324/20, 882/8148 is 3969.