Correct Answer - Option 4 : 1089

**Concept used:**

LCM of numbers

**Calculation:**

Take LCM of 15, 18, 36

2 |
15,18, 36 |

3 |
15,9,18 |

3 |
5, 3, 6 |

5, 1, 2

⇒ LCM = 2 × 3 × 3 × 5 × 1 × 2 = 180

⇒ LCM = 180

The required number which is exactly divisible by 11

⇒ 180x + 9

Put x = 6

⇒ 180 × 6 + 9

⇒ 1089 is divisible by 11.

**∴ The required number is 1089.**