# Math Help - lcm

1. ## lcm

Peter makes $84/sale that he makes. If he buys stock in a company at$160/share, what is the minimum number of shares purchased?

2. Can you type the full question out? What you've wrote doesn't seem to make any sense or there's some info missing.

But for your info, the least common multiple of 84 and 160 is...

$\frac{84 \cdot 160}{\gcd(84,160)} = \frac{13440}{2} = 6720$

3. sorry...all of his profits must be used.

the lcm is 3360

4. Originally Posted by ihavvaquestion
sorry...all of his profits must be used.

the lcm is 3360
Oops so it is. Can you just type out the actual question IN FULL!

5. Does he but a stock for 160, sell it and get 84 profit? Then he reinvests his profit into buying more stock?

6. Peter sells carborators. He makes $84 on each carborator. Using ALL his profits from the sale of these carborators, he buys several shares of stock at$160/share. What is the minimum number of shares of stock that he could have purchased?

7. Originally Posted by ihavvaquestion
Peter sells carborators. He makes $84 on each carborator. Using ALL his profits from the sale of these carborators, he buys several shares of stock at$160/share. What is the minimum number of shares of stock that he could have purchased?
least common multiple of 84 and 160 divided by 160. 3360/160 = 21.

$\frac{84 \cdot 160}{\gcd(84,160)} = \frac{13440}{2} = 6720$
$\gcd(84, 160) = 4$
$\gcd(84, 160) = 4$