What is the least common multiple of 3, 8, and 12?
You asked:
Find the least common multiple of the following numbers: \(3, 8, 12\).
MathBot Answer:
The least common multiple of a set of integers is the smallest positive integer divisible by all integers in the set.
The prime factorization of $3$ is $3$.
The prime factorization of $8$ is $2^{3}$.
The prime factorization of $12$ is $2^{2} \times 3$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(3, 8, 12) = 2^{3} \times 3 = 24.$