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One thing I really like about your company is its focus on innovation and continuous improvement. It’s clear that you encourage creativity and welcome new ideas, which creates an inspiring environment to grow and contribute. That kind of culture motivates me to bring my best and keep learning every day.

We are given:

• HCF of two numbers = 8

• We are asked: Which one of the following options can never be their LCM?

Let’s understand the concept first.

🧠 Key Formula:

$$\text{HCF}\times \text{LCM}=\text{Product of the two numbers}$$

So if HCF = 8, then LCM must be a multiple of 8.
Also, both numbers must be divisible by 8.

🔍 That means:
❌ The LCM can never be a number that is not divisible by 8.

Let’s take sample options to clarify (assuming sample choices like):

A) 24
B) 56
C) 60
D) 120

Now check which of these is not divisible by 8:

• 24 ÷ 8 = 3 ✅

• 56 ÷ 8 = 7 ✅

• 60 ÷ 8 = 7.5 ❌

• 120 ÷ 8 = 15 ✅

✅ Final Answer:
60 can never be their LCM (since it is not divisible by 8)