What is the LCM of 5 and 20?

Understand the Problem

The question is asking for the least common multiple (LCM) of the numbers 5 and 20. To solve it, we need to determine the smallest number that is a multiple of both 5 and 20.

Answer

The LCM of 5 and 20 is \( 20 \).
Answer for screen readers

The least common multiple (LCM) of 5 and 20 is ( 20 ).

Steps to Solve

  1. List the multiples of each number

First, generate the multiples of the numbers 5 and 20.

For 5:

  • 5, 10, 15, 20, 25, 30, 35, ...

For 20:

  • 20, 40, 60, 80, ...
  1. Identify the common multiples

Next, find the multiples that appear in both lists.

From our lists, we can see that the common multiples are:

  • 20, 40, 60, ...
  1. Select the least common multiple (LCM)

Now, choose the smallest number from the common multiples identified.

The LCM of 5 and 20 is:

  • 20

The least common multiple (LCM) of 5 and 20 is ( 20 ).

More Information

The least common multiple of two numbers is the smallest multiple that both numbers share. In this case, since 20 is a multiple of 5, it is the least common multiple.

Tips

  • Forgetting to list enough multiples: Ensure to list multiples until you find a common one.
  • Not recognizing a number is a multiple: Remember that every number is a multiple of itself, so if one number divides another perfectly, the larger number is the LCM.
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