
I have worked before in [mention your previous company or field, e.g., retail, customer service, sales, or technical support], where I gained experience in handling responsibilities, communicating with clients, and working as part of a team. It helped me develop skills like time management, problem-solving, and professionalism in the workplace.
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:
HCF×LCM=Product of the two numbers\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)