Math Problem Statement
The smallest perfect square which is divisible by 4 and 5 is 300 true or false
Solution
False.
To find the smallest perfect square divisible by both 4 and 5, we need to consider the least common multiple (LCM) of 4 and 5, and then find the smallest perfect square that is a multiple of that LCM.
- The LCM of 4 and 5 is 20.
- The smallest perfect square that is a multiple of 20 is .
So, the smallest perfect square divisible by both 4 and 5 is 400, not 300.
Would you like further details or have any questions?
Here are five related questions:
- What is the definition of a perfect square?
- How do you calculate the least common multiple (LCM) of two numbers?
- What is the smallest perfect square divisible by both 3 and 7?
- How can you verify if a number is divisible by both 4 and 5?
- Can a perfect square ever be an odd number?
Tip: When finding the smallest perfect square divisible by multiple numbers, focus on finding the LCM first and then check if that LCM can be squared.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Perfect Squares
LCM (Least Common Multiple)
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9