The LCM and HCF of (96, 404) is ………..

Correct option is A

To find the LCM and HCF of (96, 404):

Step 1: Find the HCF of 96 and 404:
Using the Euclidean Algorithm:

$$404 \div 96$$​ = 4 , remainder 20


96 $$\div$$​ 20 = 4 , remainder 16


20 $$\div$$​ 16 = 1 , remainder 4


16 $$\div$$​ 4 = 4 , remainder, 0

Thus, the HCF = 4.

Step 2: Use the formula for LCM and HCF:
The relationship between LCM and HCF is:

LCM $$\times$$​ HCF = Product of the numbers

Substitute the values:

LCM $$\times$$​ 4 = 96 $$\times$$​ 404


LCM = $$\frac{96 \times 404}{4} = 9696$$​​

Thus, HCF = 4 and LCM = 9696.