lowest common multiple of 3, 6 and 8

asked by guest
on Jan 07, 2025 at 6:38 am



You asked:

Find the least common multiple of the following numbers: \(3, 6, 8\).

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 $6$ is $2 \times 3$.

The prime factorization of $8$ is $2^{3}$.

Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.

$\text{lcm}(3, 6, 8) = 2^{3} \times 3^{3} = 24.$