Which of the following is the lowest positive integer that : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 16:39

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which of the following is the lowest positive integer that

Author Message
Manager
Joined: 01 Nov 2007
Posts: 144
Followers: 1

Kudos [?]: 331 [0], given: 0

Which of the following is the lowest positive integer that [#permalink]

### Show Tags

05 Feb 2008, 14:05
00:00

Difficulty:

(N/A)

Question Stats:

67% (01:21) correct 33% (00:43) wrong based on 11 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680
Director
Joined: 14 Oct 2007
Posts: 758
Location: Oxford
Schools: Oxford'10
Followers: 15

Kudos [?]: 214 [1] , given: 8

### Show Tags

06 Feb 2008, 13:52
1
KUDOS
JCLEONES wrote:
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680

ok so lets break our divisors down into prime factors, i.e $$2,3,2^2,5,3*2,7, 2^3,3^2$$

anything divisible by $$3^2$$, will be divisible by 3, anything divisible by $$2^3$$ will be divisible by $$2, 2^2$$
anything divisible by 2 and 3 will be divisible by 6. so by multiplying $$5*7* 2^3*3^2 = 2520$$ we will yield the LCD = 2520

now since 2520 is one of the options, bingo, this is the LOWEST POSITIVE INT ,i.e 1 ,as asked by the question
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 11

Kudos [?]: 850 [0], given: 4

### Show Tags

05 Feb 2008, 14:07
JCLEONES wrote:
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680

pull out the biggest numbers first
3^2
2^3
7
5

9*8*7*5 = 2,520
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Director
Joined: 01 May 2007
Posts: 792
Followers: 1

Kudos [?]: 287 [0], given: 0

### Show Tags

05 Feb 2008, 14:26
Woah Woah woah...backup here. Biggest #s first. Can you elaborate on this problem. I believe this one came out of the OG 11.
Director
Joined: 01 May 2007
Posts: 792
Followers: 1

Kudos [?]: 287 [0], given: 0

### Show Tags

05 Feb 2008, 18:54
What do we pull the biggest #s? Any why not "6"?
Director
Joined: 01 May 2007
Posts: 792
Followers: 1

Kudos [?]: 287 [0], given: 0

### Show Tags

06 Feb 2008, 14:43
Thanks like a dummy I didn't realize we were looking for the LCD!
Re: PS - Divisibility   [#permalink] 06 Feb 2008, 14:43
Display posts from previous: Sort by