Question

can two number have 16 as their HCF and 204 as their LCM give reasons in support of your answer​

Answer 1

No.

Let the numbers be A and B

since A and B are both divisible by 16, their lcm must also be divisible by 16.

But , 204 = 4 × 51

i.e 204 is only divisible by 4.

therefore , 204 can't be the lcm.