# The Least Number Which When Divided by 6, 9, 12, 15, 18 Leaves the Same Remainder 2 in Each Case is:

**Answer: (4) 182**

**Explanation****:-
**Factors of 6 = 2 x 3

Factors of 9 = 3 x 3

Factors of 12 = 2 x 2 x 3

Factors of 15 = 3 x 5

Factors of 18 = 2 x 3 x 3

Then, the LCM of 6, 9, 12, 15, 18 = 2 x 2 x 3 x 3 x 5

= 180

Leaves the same remainder 2 in each case ,

Then, the least number = 180 + 2

= 182

Then, the least number which when decided by 6, 9, 12, 15, 18 leaves the a same remainder 2 in each case is 182.

Hence, the answer is (4) 182.