Questions: Find the LCD of the set of fractions. 1/2, 2/3, 1/4

Find the LCD of the set of fractions. 1/2, 2/3, 1/4
Transcript text: Find the LCD of the set of fractions. \[ \frac{1}{2}, \frac{2}{3}, \frac{1}{4} \]
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Solution

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Solution Steps

To find the Least Common Denominator (LCD) of a set of fractions, we need to determine the least common multiple (LCM) of the denominators. The denominators in this case are 2, 3, and 4. We will calculate the LCM of these numbers to find the LCD.

Step 1: Identify the Denominators

The given fractions are \( \frac{1}{2} \), \( \frac{2}{3} \), and \( \frac{1}{4} \). The denominators of these fractions are 2, 3, and 4.

Step 2: Calculate the Least Common Denominator (LCD)

To find the LCD, we need to calculate the least common multiple (LCM) of the denominators 2, 3, and 4. The LCM of these numbers is determined to be 12.

Final Answer

The least common denominator (LCD) of the set of fractions is \\(\boxed{12}\\).

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