find the lowest common multiple of 10,15 and 18
You asked:
Find the least common multiple of the following numbers: \(10, 15, 18\).
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 $10$ is $2 \times 5$.
The prime factorization of $15$ is $3 \times 5$.
The prime factorization of $18$ is $2 \times 3^{2}$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(10, 15, 18) = 2 \times 3^{2} \times 5^{2} = 90.$