Question

Find the LCM of 24x^2yz and 27x^4y^2z^2

Answer 1

Answer:

$24 {x}^{2} yz = 3 \times 2 \times 2 \times 2 \times {x}^{2} yz$

$27 {x}^{4} {y}^{2} {z}^{2} = 3 \times 3 \times 3 \times {x}^{4} {y}^{2} {z}^{2}$

2 and 3 occur maximum three times.

x maximum occur 4 times.

y and z maximum occurs 2 times.

$lcm \: of \: 24 {x}^{2} y \: z \: and \: 27 {x}^{4} {y}^{2} {z}^{2} \\ = 216 \: {x}^{4} {y}^{2} {z}^{2}$