Question

LCM and HCF of two numbers are 168 and 6 respectively. If one of the numbers is 24, then find the other number.

• A. 45
• B. 42
• C. 40
• D. 44

Answer 1

Answer:

B. 42

Use the relationship between LCM, HCF, and numbers

For any two numbers (a) and (b):

$\text{LCM} \times \text{HCF} = a \times b$

Given:

• LCM = 168

• HCF = 6

• One number (a = 24)

• Let the other number = (b)

$168 \times 6 = 24 \times b$

Step 2: Solve for (b)

$b = \frac{168 \times 6}{24} = \frac{1008}{24} = 42$

The other number is 42