Question

The LCM of two numbers is 4158 and their HCF is 54. If one of the numbers is 378, what is the other number?

• A. 495
• B. 398
• C. 594
• D. 624

Answer 1

Answer:

C. 594

We use the relation:

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

Step 1: Substitute given values

$\text{Product} = 4158 \times 54$
= 224,532
Step 2: Find the other number

One number = 378

$\text{Other number} = \frac{224,532}{378}$
= 594
Final Answer: The other number is 594.