Question
upstudy study bank question image url

What is the LCM of 16 und 20

Ask by Lynch Hills. in Kenya
Jan 21,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The LCM of 16 and 20 is 80.

Solution

It looks like you intended to ask for the **LCM (Least Common Multiple)** of 16 and 20. Let's calculate it step by step. ### Method 1: Listing Multiples 1. **List the multiples of each number:** - **Multiples of 16:** 16, 32, 48, 64, **80**, 96, 112, ... - **Multiples of 20:** 20, 40, 60, **80**, 100, 120, ... 2. **Identify the smallest common multiple:** The smallest number that appears in both lists is **80**. ### Method 2: Prime Factorization 1. **Find the prime factors of each number:** - **16:** \(16 = 2^4\) - **20:** \(20 = 2^2 \times 5\) 2. **Take the highest power of each prime that appears in the factorization:** - For **2**, the highest power is \(2^4\). - For **5**, the highest power is \(5^1\). 3. **Multiply these together to get the LCM:** \[ LCM = 2^4 \times 5 = 16 \times 5 = 80 \] ### **Conclusion** The **Least Common Multiple (LCM) of 16 and 20 is 80**.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Mind Expander

To find the least common multiple (LCM) of 16 and 20, we can use the prime factorization method. The prime factorization of 16 is \(2^4\), and for 20, it's \(2^2 \times 5^1\). To find the LCM, we take the highest power of each prime that appears in the factorizations. So, we take \(2^4\) from 16 and \(5^1\) from 20. Thus, the LCM is \(2^4 \times 5^1 = 16 \times 5 = 80\). Now you know that the LCM of 16 and 20 is 80! Fun fact: LCMs are not just for numbers; they’re often used in scheduling to find the best time to coordinate events! So, next time you're planning a party and want to figure out when to invite your friends, think about using the LCM! Also, when calculating LCM, a common mistake is stopping after finding the multiples. Remember, it’s all about finding the smallest multiple that fits all the numbers involved. So, don't get carried away; you may end up on the wrong party date!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy