# What is the LCM of 3, 5, 15, 16?

240

I prefer to prime factorize problems involving LCMs first:

And all of the primes will now be listed in the LCM.

We can now move on to the 16 which has four 2s because we have a 3 from the 3 and a 5 from the 5. Since the 3 and 5 of the 15 are already listed, the LCM is:

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

To find the least common multiple (LCM) of 3, 5, 15, and 16, you can start by breaking down each number into its prime factors.

3 = 3 (prime) 5 = 5 (prime) 15 = 3 * 5 16 = 2^4

Then, you take the highest power of each prime factor that appears in any of the numbers:

2^4 * 3 * 5 = 240

So, the LCM of 3, 5, 15, and 16 is 240.

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

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7