Question

The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.

Answer 1

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3  for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

• 360/2 = 180 works
• 360/3 = 120 works
• 360/5 = 72   works
• 360/6 = 60 works
• 360/8 = 45 works
• 360/9 = 40 works.

There is no smaller number below 360 which will work.