Question

What is the LCM of q^2, 3q and 9?​

Answer 1

Since LCM is the product of prime numbers with maximum power in a given set of numbers.

Therefore in given set of numbers we find

there are two prime numbers that are q* and 3.

Therefore maximum power of 3 is 2

q is 2

Thereby multiplying 9 (i.e 3²) and q² we get LCM(q², 3q, 9) i.e 9q².

* - here q is taken to be a prime number since it is a variable ( of which the value is not available ) and thus we can't factorise it .

Hope I Made it clear...