Find the smallest number which will be completely divisible by 24, 48 and 60.

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  1. 120 
  2. 240
  3. 480
  4. 0

Answer (Detailed Solution Below)

Option 2 : 240
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UP Police Constable हिंदी (मॉक टेस्ट)
20 Qs. 20 Marks 14 Mins

Detailed Solution

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Given:

Find the smallest number which will be completely divisible by 24, 48, and 60.

Formula used:

LCM (Least Common Multiple)

Calculation:

Prime factorization:

24 = 23 × 3

48 = 24 × 3

60 = 22 × 3 × 5

LCM = 24 × 3 × 5

⇒ LCM = 16 × 3 × 5

⇒ LCM = 240

∴ The correct answer is 240.

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