Questions: Determine the LCD of the group of fractions. 13/360, 11/150

Determine the LCD of the group of fractions \(\frac{13}{360}\) and \(\frac{11}{150}\).

Factorize the denominators into prime factors.

\(360 = 2^3 \times 3^2 \times 5^1\)
\(150 = 2^1 \times 3^1 \times 5^2\)

Identify the highest powers of all prime factors present in the denominators.

The highest powers are:
\(2^3\), \(3^2\), and \(5^2\).

Calculate the LCD by multiplying the highest powers of all prime factors.

\(\text{LCD} = 2^3 \times 3^2 \times 5^2 = 8 \times 9 \times 25 = 1800\)

The LCD of the fractions \(\frac{13}{360}\) and \(\frac{11}{150}\) is \(\boxed{1800}\).

The LCD of the fractions \(\frac{13}{360}\) and \(\frac{11}{150}\) is \(\boxed{1800}\).