Ved22
the question does states that 3 integers are non-coprime and the answer considers product of 2,3,5. but 2,3,4 are coprime . Need calrity
2,3, and 4 are NOT co-prime. Actually, the answer is not 2,3,5 and their LCM. The answer would be 6,10,15 and their LCM, which happens to be 30.....We are said that the numbers are not co-prime, i.e., there is atleast 1 common factor other than 1. (So, 1-2-3 are ruled out, 2-3-4 is the next sequence). We are also said that the numbers are not multiples of each other, which means, 2-3-4 is also ruled out and 2-3-5 is the next sequence in the list (we are trying to keep numbers minimum so that LCM is also low, which the question needs)......But 2-3-5 are co-prime, so we will need to alter them to make them "not co-prime" with one another and also "not a multiple of one another", while keeping them as low as possible.......So what we do is (2*3), (3*5) and (5*2). No two numbers are co-prime. No numbers are multiples of each other. Numbers are 6,15, and 10 and LCM is 30.
Also, as I had earlier mentioned, 2-3-4 were already ruled out as they were not co-prime. So checking multiplicity should start with 2-3-5.