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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## X is the least common multiple of 96,196,300 . . . . tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ### Top Member ## X is the least common multiple of 96,196,300 . . . . ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult X is the least common multiple of 96, 196 and 300. Which number below is not a factor of X? A. 600 B. 700 C. 900 D. 2100 E. 4900 The OA is the option C. How can I know the factors of X? Is there a fast way for solving this PS question? I'd appreciate any help. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1808 messages Followed by: 14 members Upvotes: 43 Top Reply VJesus12 wrote: X is the least common multiple of 96, 196 and 300. Which number below is not a factor of X? A. 600 B. 700 C. 900 D. 2100 E. 4900 Breaking each number into primes, we have: 96 = 32 x 3 = 2^5 x 3^1 196 = 4 x 49 = 2^2 x 7^2 300 = 3 x 100 = 3^1 x 2^2 x 5^2 The LCM is 2^5 x 3^1 x 5^2 x 7^2 Since 900 = 3^2 x 100, we see that 900 cannot be a factor of X. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO • FREE GMAT Exam Know how you'd score today for$0

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