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Find the smallest square number that is divisible by each of the number 4,9 and 10?
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Finding the Smallest Square Number Divisible by 4, 9, and 10
Step 1: Find the Prime Factors
To find the smallest square number divisible by 4, 9, and 10, we need to first find the prime factors of each number:
- 4 = 2 x 2
- 9 = 3 x 3
- 10 = 2 x 5
Step 2: Identify the Common Factors
Next, we need to identify the common factors among the prime factors:
- 2 x 2
- 3 x 3
- 2 x 5
Step 3: Multiply the Common Factors
To find the smallest square number that is divisible by all three numbers, we need to multiply the common factors:
2 x 2 x 3 x 3 x 2 x 5 = 180
Step 4: Find the Smallest Square Number
The smallest square number that is divisible by all three numbers is the square of the product of the common factors:
(2 x 2 x 3 x 3 x 2 x 5)^2 = 32400
Therefore, the smallest square number that is divisible by 4, 9, and 10 is 32400.
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Find the smallest square number that is divisible by each of the number 4,9 and 10?
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Find the smallest square number that is divisible by each of the number 4,9 and 10? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the smallest square number that is divisible by each of the number 4,9 and 10? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the smallest square number that is divisible by each of the number 4,9 and 10?.
Find the smallest square number that is divisible by each of the number 4,9 and 10? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the smallest square number that is divisible by each of the number 4,9 and 10? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the smallest square number that is divisible by each of the number 4,9 and 10?.
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