lcm of 60,14,21
You asked:
Find the least common multiple of the following numbers: \(60, 14, 21\).
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 $60$ is $2^{2} \times 3 \times 5$.
The prime factorization of $14$ is $2 \times 7$.
The prime factorization of $21$ is $3 \times 7$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(60, 14, 21) = 2 \times 3 \times 5 \times 7 = 420.$