
Example: Find the least natural number which when divided by 8 leaves the remainder 5 and when divided by 12 leaves the remainder 9 and when divided by 18 leaves the remainder 15.
Solution:
The L.C.M. of 8, 12 and 18 is 72. Therefore, the number = 723 = 69. Directions: Solve the following problems. Also write at least five examples of your own. 