The HCF of 96 and 404 is 4. Their LCM is:

1. For any two numbers, HCF x LCM = the product of the two numbers. 2. Here the product is 96 x 404 = 38784. 3. So LCM = 38784 / 4. 4. That gives LCM = 9696. 5. A quick check: 9696 is divisible by both 96 and 404, which the smaller options are not. _Source: syllabus Maths, Ch 1 'Real Numbers', S1.2 The Fundamental Theorem of Arithmetic_