LCM 24 5 14

asked by guest
on Oct 18, 2024 at 3:28 am



You asked:

Find the least common multiple of the following numbers: \(24, 5, 14\).

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 $24$ is $2^{3} \times 3$.

The prime factorization of $5$ is $5$.

The prime factorization of $14$ is $2 \times 7$.

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

$\text{lcm}(24, 5, 14) = 2^{3} \times 3 \times 5 \times 7 = 840.$