LCM of two numbers is 28 and their HCF is 8.
Step 1: Recall the rule.
For any two whole numbers, the LCM is always a multiple of the HCF.
In symbols (small pieces):
\( \text{HCF} \mid \text{LCM} \)
That means: \( \text{LCM} = \text{HCF} \times k \) for some whole number \( k \).
Step 2: Check with the given numbers.
Here, \( \text{LCM} = 28 \) and \( \text{HCF} = 8 \).
Is 28 a multiple of 8?
Compute: \( 28 \div 8 = 3.5 \).
Since \( 3.5 \) is not a whole number, 28 is not a multiple of 8.
Step 3: Conclusion.
The rule is not satisfied, so the statement is false.