Final answer:
Option A). To find the least common multiple (LCM) of 15, 24, and 27, we can find the prime factorizations of each number and multiply the highest powers of the primes that appear.
Step-by-step explanation:
To find the least common multiple (LCM) of 15, 24, and 27, we can start by finding the prime factorization of each number:
15 = 3 x 5
24 = 2 x 2 x 2 x 3
27 = 3 x 3 x 3
The LCM is the product of the highest powers of all the primes that appear in the factorizations of the numbers. So, the LCM of 15, 24, and 27 is 2 x 2 x 2 x 3 x 3 x 3 x 5 = 720.
Therefore, the correct answer is A. 720.