Probability- Odds Question

Question

1. A confident and boastful coach claims that on the next league game the odds of her team winning are 3:1; the odds against losing are 5:1; and the odds against a tie are 7:1. Can these odds be right? Please show all work.

Answer 1

Odds = successes / failures

3 : 1 means a multiple of 4 games were played

5 : 1 means a multiple of 6 games were played

7 : 1 means a multiple of 8 games were played

What is the LCM of 4, 6, and 8?