Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 338/90, 281/36, 936/81 quickly i.e. 379912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 338/90, 281/36, 936/81 is 379912.
LCM(338/90, 281/36, 936/81) = 379912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 338/90,281/36,936/81
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 338,281,936
Least Common Multiple of Numerators i.e. LCM of 338,281,936 is 3419208.
GCF of Denominators means GCF of 90,36,81 as per the given fractions.
GCF of 90,36,81 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 338,281,936
2 | 338, 281, 936 |
13 | 169, 281, 468 |
13, 281, 36 |
∴ So the LCM of the given numbers is 2 x 13 x 13 x 281 x 36 = 3419208
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 338,281,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,281,936) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(338,281,936) x common factors =1 x 26 = 26
LCM(338,281,936) = ( 338 × 281 × 936 ) / 26
LCM(338,281,936) = 88899408 / 26
LCM(338,281,936) = 3419208
Lets's calculate GCF of 90,36,81
3 | 90, 36, 81 |
3 | 30, 12, 27 |
10, 4, 9 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3419208/9
Therefore the LCM of Fractions 338/90,281/36,936/81 is 379912
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 90,36,81 . The biggest common factor number is the GCF number.
So the greatest common factor 90,36,81 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 338/90, 281/36, 936/81?
Answer: LCM of Numerators as per given numbers 338/90, 281/36, 936/81 is
LCM of Numerators i.e. for 338,281,936 is 3419208
GCF of denominators i.e. for 90,36,81 is 9.
Thus, LCM of Fractions is 379912.Finally, LCM of Fractions for 338/90, 281/36, 936/81 is 379912.