The smallest four digit number which is exactly divisible by 18 32 and 48 is ........

Quantitative Aptitude (MTS) Number System

The smallest four-digit number which is exactly divisible by 18, 32 and 48 is:

This questions was previously asked in

SSC MTS 7th October 2021 Shift-1

1252

1156

1256

1152

- To find the smallest four-digit number divisible by 18, 32, and 48, we must first find their Least Common Multiple (LCM).

- Factorize each number:

- 18 = 2 × 3²

- 32 = 25

- 48 = 24 × 3

- LCM is calculated by taking the highest power of each prime number:

- LCM = 25 × 3² = 288

- The smallest four-digit number divisible by 288 is 288 × 4 = 1152.

- Checking options:

- Option 1: 1252 is not divisible by 288.

- Option 2: 1156 is not divisible by 288.

- Option 3: 1256 is not divisible by 288.

- Option 4: 1152 is divisible by 288.

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