GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 06 Dec 2019, 02:04 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x, y and z are distinct positive integers where x and y are prime

Author Message
Director  V
Joined: 18 Feb 2019
Posts: 602
Location: India
GMAT 1: 460 Q42 V13 GPA: 3.6
If x, y and z are distinct positive integers where x and y are prime  [#permalink]

### Show Tags

1 00:00

Difficulty:   85% (hard)

Question Stats: 19% (02:13) correct 81% (02:23) wrong based on 16 sessions

### HideShow timer Statistics

If x, y and z are distinct positive integers where x and y are prime numbers, find the number of prime factors of the lowest number that has x, y and z as its factors?

I. z is equal to the least common multiple of x, y and z.
II. z is equal to 15 times the highest number that divides each of x, y and z completely.
Math Expert V
Joined: 02 Aug 2009
Posts: 8284
Re: If x, y and z are distinct positive integers where x and y are prime  [#permalink]

### Show Tags

1
If x, y and z are distinct positive integers where x and y are prime numbers, find the number of prime factors of the lowest number that has x, y and z as its factors?

We are looking for the LCM of x, y and z.

I. z is equal to the least common multiple of x, y and z.
This tells us that x and y are factors of z as x and y are prime numbers.
But we do not know any value of variables
Insuff

II. z is equal to 15 times the highest number that divides each of x, y and z completely.
Since x and y are prime numbers, their greatest divisor would be 1, so z is 15 times 1 or 15*1=15.
But we do not know anything about 15..
say x=2, y =7, and z is 15, the answer is 210, but say x =3 and y =5, and z is 15, the answer is 15.
Insuff

Combined.
x and y are prime factors of z, and z is LCM of z, x and y. z is 15, thus answer is 15.
Suff
_________________ Re: If x, y and z are distinct positive integers where x and y are prime   [#permalink] 24 Mar 2019, 07:54
Display posts from previous: Sort by

# If x, y and z are distinct positive integers where x and y are prime  