take lcm of 20 60 and 80

asked by guest
on Jan 26, 2025 at 11:23 am



You asked:

Find the least common multiple of the following numbers: \(20, 60, 80\).

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 $20$ is $2^{2} \times 5$.

The prime factorization of $60$ is $2^{2} \times 3 \times 5$.

The prime factorization of $80$ is $2^{4} \times 5$.

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

$\text{lcm}(20, 60, 80) = 2 \times 3 \times 5 = 240.$