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Multiples of 10: 10, 20, 30, 40, 50
Multiples of 5: 5, 10, 15, 20, 25
LCM is 10.
Multiples of 5: 5, 10, 15, 20, 25
LCM is 10.
Solution
To find the least common multiple (LCM) of the numbers 10 and 5, we will first list the first five multiples of each number.
Multiples of 10:
So, the first five multiples of 10 are: 10, 20, 30, 40, 50.
Multiples of 5:
So, the first five multiples of 5 are: 5, 10, 15, 20, 25.
Now, let’s identify the common multiples from both lists:
- Common multiples: 10, 20
The least common multiple (LCM) is the smallest common multiple, which is 10.
Thus, the multiples are:
- For 10: 10, 20, 30, 40, 50 (Circle 10)
- For 5: 5, 10, 15, 20, 25 (Circle 10)
The LCM of 10 and 5 is 10.
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Simplify this solution Mind Expander
The multiples of 10 are: 10, 20, 30, 40, 50.
The multiples of 5 are: 5, 10, 15, 20, 25.
The least common multiple (LCM) of 10 and 5 is 10.
The multiples of 5 are: 5, 10, 15, 20, 25.
The least common multiple (LCM) of 10 and 5 is 10.
Fun fact: The concept of multiples and LCM dates back to ancient civilizations, such as the Babylonians, who developed advanced mathematical techniques to solve problems involving equal sharing and measuring. They laid the groundwork for our modern understanding of numbers!
In real life, finding the LCM can be incredibly useful! For instance, if you’re trying to schedule events that occur every 10 days and every 5 days, the LCM (10 days) helps you figure out when both events will happen on the same day. It’s like planning the ultimate party! 🥳
