Martin thinks of two numbers. He says, "The Highest Common Factor (HCF) of my two numbers is 6 The Lowest Common Multiple (LCM) of my two numbers is a multiple of 15" Write down two possible numbers that Martin is thinking of.

The HCF is the largest number, which would be a factor in the two numbers and the LCM is multiple which is useful if fractions need to be expressed in the same name, and the further discussion can be defined as follows:

So, the final answer is "30, 42"

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30, 42

Step-by-step explanation:

"The Highest Common Factor (HCF) of my two numbers is 6"

The only factors the two numbers have in common are 2 and 3. Each number must have 2 and 3 as factors.

first number = 2 * 3 * ...

second number = 2 * 3 * ...

Since both numbers contain a 2 as a factor, both numbers must be even. The lowest common multiple is a multiple of 15, but it must be an even multiple of 15.

Multiples of 15: 15, 30, 45, 60, 75, 90, ...

We are interested only in the even multiples of 15: 30, 60, 90, ...

first number = 2 * 3 * 5 = 30

second number = 2 * 3 * 7 = 42

Example: 30, 42