lcm 4 10
Understand the Problem
The question is asking for the least common multiple (LCM) of the numbers 4 and 10. To find the LCM, we will determine the smallest number that is a multiple of both 4 and 10.
Answer
$20$
Answer for screen readers
The least common multiple (LCM) of 4 and 10 is $20$.
Steps to Solve
- List the multiples of each number
First, we need to find the multiples of 4 and 10.
- The multiples of 4 are: $4, 8, 12, 16, 20, 24, \dots$
- The multiples of 10 are: $10, 20, 30, 40, \dots$
- Identify the common multiples
Next, we look for the numbers that appear in both lists of multiples.
From the lists above, we can see:
- The common multiples of 4 and 10 are: $20, 40, \dots$
- Choose the least common multiple
Now, we select the smallest number from the common multiples which is $20$.
Thus, the least common multiple (LCM) of 4 and 10 is $20$.
The least common multiple (LCM) of 4 and 10 is $20$.
More Information
The least common multiple is the smallest positive integer that is divisible by both numbers. Understanding LCM can be useful in problems involving fractions and finding common denominators.
Tips
- Not listing enough multiples: Always make sure to list several multiples of each number until a common one is found.
- Confusing GCD (greatest common divisor) with LCM: Remember, LCM is about finding the least multiple, whereas GCD finds the greatest divisor.
