It is currently 28 Jun 2017, 23:20

### 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

# If n is the least of 3 consecutive positive integers and

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 31 Oct 2011
Posts: 328
If n is the least of 3 consecutive positive integers and [#permalink]

### Show Tags

24 Feb 2012, 23:04
2
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:51) correct 10% (01:22) wrong based on 232 sessions

### HideShow timer Statistics

If n is the least of 3 consecutive positive integers and n is odd, what is the least common multiple of the 3 integers, in terms of n?

A. n(n+1)(n+2)
B. n^3 + 3
C. n(n^2 + 2)
D. n^2 + 3
E. 3(n +1)
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39755
Re: PT #8 PS 2 Q 17 [#permalink]

### Show Tags

25 Feb 2012, 00:43
3
KUDOS
Expert's post
3
This post was
BOOKMARKED
eybrj2 wrote:
If n is the least of 3 consecutive positive integers and n is odd, what is the least common multiple of the 3 integers, in terms of n?

A. n(n+1)(n+2)
B. n^3 + 3
C. n(n^2 + 2)
D. n^2 + 3
E. 3(n +1)

Two consecutive integers are co-prime, meaning that they do not share any common factor but 1. For example 4 and 5 are consecutive integers and they do not share any common factor but 1. This means that the leas common multiple of two consecutive integers is always their product: LCM(4, 5)=20.

So, for n, n+1 and n+2 each pair consecutive terms is co-prime (n and n+1, as well as n+1 and n+2). Now, since n is odd, then n and n+2 are also co-prime (consecutive odd integers are also co-prime: 3 and 5, 5 and 7, 7 and 9, ...), which means that all 3 integers are co-prime to each other, hence the least common multiple of the 3 integers is n(n+1)(n+2).

Else you can pick some number for n, say 3. Then three consecutive integers will be 3, 4, and 5, their LCM is 3*4*5=60. Now, just plug 3 in the answer choices to see which yields 60: only A.

Note that for plug-in method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only. For example if you pick n=1 then you get two "correct" choices A and E.

Hope it helps.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39755
Re: If n is the least of 3 consecutive positive integers and [#permalink]

### Show Tags

27 May 2013, 05:51
Bumping for review and further discussion.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16028
Re: If n is the least of 3 consecutive positive integers and [#permalink]

### Show Tags

06 Dec 2014, 23:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16028
Re: If n is the least of 3 consecutive positive integers and [#permalink]

### Show Tags

29 Feb 2016, 17:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2185
Re: If n is the least of 3 consecutive positive integers and [#permalink]

### Show Tags

16 Mar 2016, 10:13
Excellent Question
here i choose N=1 and discarded B,C,D then choose N=3 and Marked A as the option.
Nice One
_________________

Give me a hell yeah ...!!!!!

Re: If n is the least of 3 consecutive positive integers and   [#permalink] 16 Mar 2016, 10:13
Similar topics Replies Last post
Similar
Topics:
1 The product of n consecutive positive integers is always divisible by 1 11 Jun 2016, 01:05
1 If N is the least positive integer that is a multiple of 5 21 Oct 2013, 13:51
5 For any sequence of n consecutive positive integers, Se 7 09 Mar 2017, 06:42
19 If the sum of n consecutive positive integers is 33, what of 15 29 Mar 2017, 06:34
23 If the least common multiple of positive integer m and n is 13 26 Nov 2016, 07:57
Display posts from previous: Sort by

# If n is the least of 3 consecutive positive integers and

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.