Find the LCM of 90, 110 and 150?
- 4950
- 4910
- 4920
- None of these
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
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