NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 07:41 It is currently 25 Apr 2024, 07:41
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the lowest positive integer that is divisible by each of the i

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 618952 [2]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 05:27
1
Kudos
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

77% (01:26) correct 23% (01:28) wrong based on 115 sessions
Hide Show timer Statistics
What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?

(A) 420
(B) 560
(C) 840
(D) 960
(E) 1080
ShowHide Answer
Official Answer
C
User avatar
L
Skywalker18
Verbal Forum Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2101
Own Kudos [?]: 8809 [0]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User Reviews Badge
Re: What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 05:48
The integers are 1 , 2 , 3 , 4 , 5 , 6 , 7 and 8
Lowest positive integer that is is divisible by each of the integers 1 through 8
= 2^3 * 3 * 5 * 7
=8*3 *5 *7
=24 * 35
= 840
Answer C
User avatar
B
AbdurRakib
Senior Manager
Senior Manager
Joined: 11 May 2014
Status:I don't stop when I'm Tired,I stop when I'm done
Posts: 474
Own Kudos [?]: 38826 [0]
Given Kudos: 220
Location: Bangladesh
Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
GPA: 2.81
WE:Business Development (Real Estate)
Send PM
GMAT ToolKit User
What is the lowest positive integer that is divisible by each of the i [#permalink] New post   Updated on: 06 Jun 2016, 06:01
Bunuel wrote:
What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?

(A) 420
(B) 560
(C) 840
(D) 960
(E) 1080



1 through 8 inclusive integers are 1,2,3,4,5,6,7,8; If I factorize answer Choice A,I found \(2^2\)*3*5*7. So I we could multiply this number by 2(to be divisible by 8) then the number is 420*2=840

Correct answer C

Originally posted by AbdurRakib on 06 Jun 2016, 05:51.
Last edited by AbdurRakib on 06 Jun 2016, 06:01, edited 2 times in total.
User avatar
G
CounterSniper
Director
Director
Joined: 20 Feb 2015
Posts: 631
Own Kudos [?]: 712 [0]
Given Kudos: 74
Concentration: Strategy, General Management
Send PM
Re: What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 05:53
divisible by
1,2,3,4,5,6,7,8
LCM = 2^3*7*5*3
=840
User avatar
fantaisie
Manager
Manager
Joined: 18 May 2016
Posts: 51
Own Kudos [?]: 106 [0]
Given Kudos: 105
Concentration: Finance, International Business
GMAT 1: 720 Q49 V39
GPA: 3.7
WE:Analyst (Investment Banking)
Send PM
What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 06:39
I simply applied divisibility rules from 2 to exclude numbers that do not qualify. Since all the numbers end with 0, it was very easy and quick to apply most of the divisibility rules:

420, 560, 840, 960, 1080

Divisibility by 2: all qualify
Divisibility by 3: 420, 560 out
Divisibility by 4, 5 & 6: all remaining qualify
Divisibility by 7: 84 is divisible by 7, 96 & 108 no

Answer: C

I hope someone finds this approach useful!
User avatar
B
Nightfury14
Manager
Manager
Joined: 13 Sep 2015
Status:In the realms of Chaos & Night
Posts: 125
Own Kudos [?]: 624 [1]
Given Kudos: 98
Schools: ISB '20 INSEAD Jan '19
Send PM
Re: What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 12:19
1
Kudos
Lowest positive integer that is is divisible by integers 1 through 8
= (2^3)x3x5x7 = 840
Answer 'C'
Hope the post helped
====================================================================

"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "

"Compassion is what makes us human"
User avatar
L
sashiim20
Director
Director
Joined: 04 Dec 2015
Posts: 620
Own Kudos [?]: 1585 [0]
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User
Re: What is the lowest positive integer that is divisible by each of the i [#permalink] New post   06 Jun 2016, 12:34
Integers are 1,2,3,4,5,6,7,8..
The Lowest Positive Integer among the answer Choice is 420.
Applied Divisibility Rule to 420.
420 is divisible by 1,2,3,4,5,6,7 except 8.
Multiplying 420 by 2 = 420 *2 = 840 ... Answer C....

Please, consider giving kudos if you find my answer helpful in any way :) :good :thumbup:
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32674
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: What is the lowest positive integer that is divisible by each of the i [#permalink] New post   05 May 2020, 22:36
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 Bot
gmatclubot
Re: What is the lowest positive integer that is divisible by each of the i [#permalink]
05 May 2020, 22:36
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions