The least number which when divided by 12,16 and 18 leaves 5 as remainder in each case. Find the number.

Given, a = 12, b =16 , c =18, k = 5 According to the formula, Required number =(LCM of a, b and c) + k = (LCM Of 12, 16, 18) + 5 LCM of 12, 16, 18 is ∴ LCM = 2 x 2 x 3 x 4 x 3 = 144 ∴ Required number =144 + 5 = 149