What is the least common multiple of 20, 12, and 3?
You asked:
Find the least common multiple of the following numbers: \(20, 12, 3\).
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 $20$ is $2^{2} \times 5$.
The prime factorization of $12$ is $2^{2} \times 3$.
The prime factorization of $3$ is $3$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(20, 12, 3) = 2 \times 3 \times 5 = 60.$