Bookshelf
Total GMAT Math Jeff's complete Quant guide, on sale now! |
Total GMAT Verbal Everything you need to ace GMAT Verbal! |
New: GMAT 111 Improve every aspect of your GMAT prep! |
1,800 Practice Math Questions
GMAT Official Guide
OG Math | OG Verbal
Guides To the Official Guide
Free: OG12 explanations!
GMAT Question of the Day
Beginner's Guide to the GMAT
GMAT Hacks Affiliate Program
Categories
- General Study Tips
- Goals and Planning
- CAT Strategy
- The Mental Game
- GMAT Math Strategy
- GMAT Math Topics
- Mental Math
- Data Sufficiency
- Critical Reasoning
- Reading Comprehension
- Sentence Correction
- Analytical Writing Assessment
- Business School Admissions
- GMAT Prep Resources
- Practice Questions
- Total GMAT Math
- Total GMAT Verbal
Official Guide Explanation:
Problem Solving #36
Background
This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.
These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.
Click here for an example of the PDF booklets. Click here to purchase a PDF copy.
Solution and Metadata
Question: 36
Page: 157
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Properties of Integers > Factors and Multiples
Explanation: To find the least common denominator of several numbers (in this case the integers between 1 and 7), start with the largest and find the LCD as follows. 7 and 6 have no factors in common, so the LCD is the product of 7 and 6, 42. Now, include 5. 42 and 5 have no factors in common, so the LCD is their product: 210. 210 and 4 have one factor in common--2--so while 210 isn't a multiple of 4, it doesn't need to be multiplied by 4 to become one. Multiply 210 by 2 for a result of 420, and the number is divisible by 4. Because 3 is a factor of 6, 420 is divisible by 3; and by the same reasoning, 420 is divisible by 2. (Of course, 420, like all integers, is divisible by 1 as well.) Thus, 420, choice (A), is the LCD of the first seven integers.
Click here for the full list of GMAT OG12 explanations.
You should follow me on Twitter. While you're at it, take a moment to subscribe to GMAT Hacks via RSS or Email. |
Total GMAT Math
The comprehensive guide to the GMAT Quant section. It's "far and away the best study material
available," including over 300 realistic practice questions and more than 500 exercises! |