Question

The L.C.M. of \( 12x^2 y^3 z^2 \) and \( 18x^4 y^3 z^3 \) is:

• A. \( 21xy z \)
• B. \( 36x^4 y^3 z^3 \)
• C. \( 24x^4 y^2 z^2 \)
• D. \( 32x^4 yz^3 \)

Hint:

When finding the L.C.M., always take the highest powers of the variables and constants present in both terms.

Answer 1

The Correct Option is B

To find the L.C.M. of two terms, take the highest powers of each variable: - For \( x \), the highest power is \( x^4 \). - For \( y \), the highest power is \( y^3 \). - For \( z \), the highest power is \( z^3 \). Thus, the L.C.M. is: \[ \text{L.C.M.} = 36x^4 y^3 z^3 \] Therefore, the correct answer is \( 36x^4 y^3 z^3 \).