Explanation

To find the LCM of 90, 110, and 150:

Step 1: Prime factorize each number.

90 = 2 × 3² × 5

110 = 2 × 5 × 11

150 = 2 × 3 × 5²

Step 2: Identify the highest power of each prime factor.

Highest power of 2: 2¹

Highest power of 3: 3²

Highest power of 5: 5²

Highest power of 11: 11¹

Step 3: Calculate the LCM.

LCM = 2 × 3² × 5² × 11

= 2 × 9 × 25 × 11

= 4950