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The smallest number that can be divided by 24, 63, and 72 is their least common multiple (LCM). To find the LCM, follow these steps:

  1. *Prime Factorization:*

    • 24 = 2³ × 3
    • 63 = 3² × 7
    • 72 = 2³ × 3²
  2. *Take the highest power of each Prime number:*

    • 2³ (from 24 and 72)
    • 3² (from 63 and 72)
    • 7¹ (from 63)
  3. *Multiply these together:*

    • LCM = 2³ × 3² × 7 = 8 × 9 × 7 = 504

So, the smallest number that can be divided by 24, 63, and 72 is *504*.

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Muhammad Faizan

Lvl 4
9mo ago

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