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ASVAB Practice Math Questions

Category - Math - Hard

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Find the least number which when divided by 6, 7, 8, 9 or 12 leaves the reminder 2 in each case.
  1. 500
  2. 502
  3. 504
  4. 506
Explanation
Answer: C - LCM is the smallest number exactly divisible by a set of numbers. Find LCM of 6, 7, 8, 9 and 12 and then add reminder 2. LCM = 504. Answer: 504+2 = 506 (Check the answer by dividing 506 by 6)
Key takeaway: The Least Common Multiple (LCM) is the smallest number that is a multiple of two or more numbers. Write each number as products of their prime factors.
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