Question

Find the smallest 5 digit number which is exactly divisible by 12,24 and 60?

Answer 1

solution

Find the LCM of the numbers for which we first factorize the numbers as follows:

6 = 2x3

8 = 2x2x2

15 = 3x5

16 = 2x2x2x2

20 = 2x2x5

The LCM = 2x2x2x2x3x5 = 240

The smallest 5 digit number is 10000. Divide 10000 by 240 to get 41.6666666. Take the next higher integer which is 42. Now multiply 240 by 42 to get 10080, which is the smallest 5 digit number divisible by 6, 8, 15, 16, and 20.

Answer = 10080.

mark it brainliest bro ^_^