ASVAB Practice Math Questions

Category - Math - Hard

Find the smallest perfect square number which is exactly divisible by 12, 15, and 20
  1. 180
  2. 360
  3. 900
  4. 32400
Explanation
Answer: C -First find LCM which is exactly divisible by 12, 15, and 20
12 = 2x2x3x3
15= 3x5
20= 2x2x5
LCM = 2x2x3x3x5. In the LCM 2 and 3 have their pairs, but 5 are alone. Pairs are perfect squares. So we have to multiply LCM by 5 to make it perfect square.
2x2x3x3x5x5 =900 is the smallest perfect square number
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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