False

Explanation:

LCM (Least Common Multiple) is the smallest multiple that is common to two or more numbers. It is found by listing the multiples of the given numbers and finding the smallest value that appears in all the lists.

HCF (Highest Common Factor) is the largest factor that is common to two or more numbers. It is found by listing the factors of the given numbers and finding the largest value that appears in all the lists.

Although there is a relationship between LCM and HCF, it is not true that the LCM of two or more numbers is always divisible by their HCF. The relationship between LCM and HCF is as follows:

Relationship between LCM and HCF:
- The product of two numbers is equal to the product of their LCM and HCF.
- LCM × HCF = Product of the two numbers

Example:
Consider two numbers, 12 and 18.
- LCM of 12 and 18 is 36.
- HCF of 12 and 18 is 6.
- The product of LCM and HCF is 36 × 6 = 216.
- The product of the two numbers is 12 × 18 = 216, which is equal to the product of LCM and HCF.

From this example, we can see that the product of LCM and HCF is equal to the product of the two numbers. However, it does not imply that the LCM is always divisible by the HCF.

Therefore, the statement "LCM of two or more numbers is divisible by their HCF" is false.

False