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Find the least common denominator.
3/18x^5 , 5/36x^2 , 8/9x^3

1 Answer

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Answer:
The least common denominator is 36.

Step-by-step explanation:

The least common denominator (LCD) is the lowest multiple of each denominator in a set of terms that is shared by each denominator. In order to find the LCD, we list multiples of each denominator until we find one they all share. Sometimes, multiplying one denominator with another denominator will lead you to the LCD. Otherwise, simply listing some will get yield the LCD.

Multiples of denominator 18 include:
18, 36, 54, 72, 90

Multiples of denominator 36 include:
36, 72, 108, 144, 180

Multiples of denominator 9 include:
9, 18, 27, 36, 45

Observe the multiple that all three denominators share is 36. Thus, 36 is the LCD.

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User Gunwin
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