74LS TTL input spec is basically the safe Vin(low) or Vil voltage with a 20k Pullup thru a diode.
The 74HCxx family can certainly drive a lot more than 1 and possibly 10 LS04 TTL loads low "0".
Where did you read this? In any case, here is how you prove it. I expect it was for CD4xxx old CMOS rated for 18V which had 300 to 3k output impedance due to Vdd.
The LS04 spec like most 74LS chips for Vil (input low) is 0.4V/0.4mA = 1kohm equivalent resistor to pull down the input to this logic "0" voltage.
The 74HC04 spec like most CMOS at 25'C or less is 0.26V / 4 mA = 65 Ohms
The open circuit for TTL is actually a logic "1" with very poor noise immunity and that is at 1.2V or two Vbe drops. +/-0.1
Using Norton equivalent, how many 74LSxx TTL can you drive with a 74HCxx at 5V minus 10% tolerance
Use the 74LS input specs 0.4 mA @ 0.4V and 74HC specs of 65 Ohms RdsOn equivalent across the Nch output active low.
The worst case TTL input low current is basically the worst case poly-resistor value of 20k nominal lowing to 10k. 74HC CMOS can easily drive that below 0.4V
proof by sim using Schottky diodes and hFE =30
Not many designers will know or remember this, so let me tell everyone where TTL load power goes. A 20k input 74LS resistor has a wide tolerance and if it is 10k you will get the exact Vil, Iin specs and this is confirmed in my simulation.