lcm of 44,68,82
You asked:
Find the least common multiple of the following numbers: \(44, 68, 82\).
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 $44$ is $2^{2} \times 11$.
The prime factorization of $68$ is $2^{2} \times 17$.
The prime factorization of $82$ is $2 \times 41$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(44, 68, 82) = 2 \times 11 \times 17 \times 41 = 30668.$