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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 5?

A. 140 B. 210 C. 1400 D. 2100 E. 3500

The first 7 positive multiples of 5 are 5, 10, 15, 20, 25, 30 and 35. The least common multiple of these numbers is 2,100.

Answer: D.

Or, a shortcut approach: Discard 140, 1,400 and 3,500 because they are not divisible by 3. Discard 210 because it's not divisible by 4. Only option D remains.
_________________

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

Show Tags

10 Jan 2013, 18:33

Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 5?

A. 140 B. 210 C. 1400 D. 2100 E. 3500

Take 5,10,15,20,25,30, and 35

You can eliminate A and B right off the bat because 25 doesn't go into 140 or 210. I found it easier to look take a two of the multiples and test their divisibility among the choices. If one doesn't work its wrong so 30 and 35.

C) Wrong not divisible by 30 D) Yes for both check 15 that's the only other obscure multiple E) Not divisible by 30

Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 5?

A. 140 B. 210 C. 1400 D. 2100 E. 3500

The first 7 positive multiples of 5 are 5, 10, 15, 20, 25, 30 and 35. The least common multiple of these numbers is 2,100.

Answer: D.

Or: Discard 140, 1,400 and 3,500 because they are not divisible by 3. Discard 210 because it's not divisible by 4. Only option D remains.

Why are we looking at divisibility by 3 and 4?

The least common multiple of 5, 10, 15, 20, 25, 30 and 35 must be a multiple of 3 since 15 is a multiple of 3 and it must a multiple of 4 since 20 is a multiple of 4.

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

Show Tags

27 Oct 2014, 07:58

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.
_________________

Fantastic NP : Which of the following is the lowest positive integer t [#permalink]

Show Tags

10 Jul 2015, 02:10

Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 5? 140 210 1400 2100 3500
_________________

Like my post Send me a Kudos It is a Good manner. My Debrief: http://gmatclub.com/forum/how-to-score-750-and-750-i-moved-from-710-to-189016.html

Always try to break down the numbers into their corresponding prime factors.

For LCM (least common multiple) take the highest powers of 2,3,5,7 which gives us : 2^2 *3*5^2*7 = 2100. Hence D is the correct answer.
_________________

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

Show Tags

23 Sep 2016, 18:03

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.
_________________

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

Show Tags

29 May 2017, 15:58

sambam wrote:

Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 5?

A. 140 B. 210 C. 1400 D. 2100 E. 3500

First write out in a single column the first seven positive multiples of 5:

5 10 15 20 25 30 35

Then in the next column write out their prime factors:

5 2*5 3*5 2^2*5 5^2 2*3*5 7*5

For an integer to be divisible by each of these prime groups, it must have all of these primes at their highest power. So it must have at least 5^2 for instance because 5^2 is 25 and this integer must be divisible by 25.

Version 8.1 of the WordPress for Android app is now available, with some great enhancements to publishing: background media uploading. Adding images to a post or page? Now...

“Keep your head down, and work hard. Don’t attract any attention. You should be grateful to be here.” Why do we keep quiet? Being an immigrant is a constant...