The HCF of two or more numbers is smaller than their LCM.

Answer

To determine whether the statement "The HCF of two or more numbers is smaller than their LCM" is true or false, we can analyze the definitions and properties of HCF (Highest Common Factor) and LCM (Lowest Common Multiple).

### Step-by-Step Solution:

1. **Understand the Definitions**:
- HCF (Highest Common Factor) is the largest number that divides two or more numbers without leaving a remainder. It is also known as GCD (Greatest Common Divisor).
- LCM (Lowest Common Multiple) is the smallest number that is a multiple of two or more numbers.

2. **Properties of HCF and LCM**:
- The HCF of a set of numbers consists of common factors of those numbers. Since factors are numbers that divide the original numbers, the HCF will always be less than or equal to the smallest number in the set.
- The LCM of a set of numbers consists of common multiples of those numbers. Since multiples are generated by multiplying the original numbers, the LCM will always be greater than or equal to the largest number in the set.

3. **Comparison of HCF and LCM**:
- Since HCF is derived from factors (which are always less than or equal to the numbers themselves), and LCM is derived from multiples (which are always greater than or equal to the numbers themselves), it follows that:
\[ \text{HCF} < \text{LCM} \]
- This means that for any two or more numbers, the HCF will always be smaller than the LCM.

4. **Conclusion**:
- Therefore, the statement "The HCF of two or more numbers is smaller than their LCM" is **True**.