LCM of 40 60 and 100
You asked:
Find the least common multiple of the following numbers: \(40, 60, 100\).
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 $40$ is $2^{3} \times 5$.
The prime factorization of $60$ is $2^{2} \times 3 \times 5$.
The prime factorization of $100$ is $2^{2} \times 5^{2}$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(40, 60, 100) = 2^{2} \times 3 \times 5 = 600.$