Home > Prealgebra > Least Common Multiple

What is the least common multiple of #{120, 124, 165}#?

Answer 1

#40,920#

Using a prime factorization, let's determine the least common multiple:

#120=2xx2xx2xx3xx5# #124=2xx2xx31# #165=3xx5xx11#

We select the largest group of primes available to us in order to find the lowest common multiple.

For example, we need three 2s because the first prime is 2. The 120 has three of them, which is the most of any of our other numbers.

#2xx2xx2xx...#

Since two of the numbers for the next prime, 3, have a 3, we also need 1.

#2xx2xx2xx3xx...#

Two numbers with a 5 each are also available:

#2xx2xx2xx3xx5xx...#

There are also a 31 and an 11:

#2xx2xx2xx3xx5xx11xx31=40,920#

#120xx11xx31=40,920# #124xx2xx3xx5xx11=40,920# #165xx2xx2xx2xx31=40,920#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Emery Allen

The least common multiple of {120, 124, 165} is 15,180.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.