What do all 16 12 9 and 10 all go into?

Answer 1

This is a "least common multiple (LCM)" question in disguise.

The prime factors of 16 are 2, 2, 2 and 2

The prime factors of 12 are 2, 2, and 3

The prime factors of 9 are 3 and 3

The prime factors of 10 are 2 and 5

So, the least common multiple (and any multiple) will have to have factors of

* four 2s * two 3s * one 5

(2 x 2 x 2 x 2) x (3 x 3) x 5 = 16 x 9 x 5 = 720

To prove our findings

* 720 ÷ 16 = 45 * 720 ÷ 12 = 60 * 720 ÷ 9 = 80 * 720 ÷ 10 = 72

These numbers will also evenly divide into any multiple of 720, such as 1,440, 2,160, 2,880 etc.