Question : Find the LCM of 20, 30, 45, and 65.
Option 1: 2000
Option 2: 2340
Option 3: 2240
Option 4: 180
Correct Answer: 2340
Solution :
Given: The numbers are 20, 30, 45, and 65.
The LCM of the provided numbers is the product of the factors with the highest powers.
The factors of the number 20 = 2
2
× 5
The factors of the number 30 = 2 × 3 × 5
The factors of the number 45 = 3
2
× 5
The factors of the number 65 = 5 × 13
LCM of (20, 30, 45, 65) = 2
2
× 3
2
× 5 × 13 = 2340
Hence, the correct answer is 2340.
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