Solve the following problems.
Veena has some beads. She wants to make necklaces with an equal number of beads in each. If she makes necklaces of 16, 24 or 40 beads, there is no bead left over. What is the least number of beads she must have ?

Explanation

To find the least number of beads Veena must have, we need to determine the least common multiple (LCM) of the numbers 16, 24, and 40. Here’s how to do it step by step:

### Step 1: Find the prime factorization of each number
- **16**: The prime factorization of 16 is \(2^4\).
- **24**: The prime factorization of 24 is \(2^3 \times 3^1\).
- **40**: The prime factorization of 40 is \(2^3 \times 5^1\).

### Step 2: Identify the highest power of each prime factor
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