Question 536802
The LCD of the fractions is equal to the LCM of the denominators.


The denominators are 3, 12, and 18



So let's list out the prime factorizations of each:




3: 3  ** Note: 3 is prime and there is only one factor (other than 1)


12: 2*2*3


18: 2*3*3


Now highlight the unique and most occurring factors. These factors are 2*2 and 3*3. Multiply them out to get 2*2*3*3 = 4*9 = 36



So the LCM of 3, 12, and 18 is 36. This is the smallest number that all 3 denominators go into evenly.



So the LCD of the fractions is 36



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