Video Find the smallest perfect square which is divisible by each of 3, 5, 8 and 12. ?
Mẹo Hướng dẫn Find the smallest perfect square which is divisible by each of 3, 5, 8 and 12. Mới Nhất
Bùi An Phú đang tìm kiếm từ khóa Find the smallest perfect square which is divisible by each of 3, 5, 8 and 12. được Update vào lúc : 2022-11-28 14:45:10 . Với phương châm chia sẻ Bí quyết Hướng dẫn trong nội dung bài viết một cách Chi Tiết Mới Nhất. Nếu sau khi đọc tài liệu vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Ad lý giải và hướng dẫn lại nha.Nội dung chính Show
- The correct option is D3600L.C.M. of 3, 4, 5, 6, 8 is 120. Now, 120 = 2 x 2 x 2 x 3 x 5. To get a perfect square, it has to be multiplied by 2 x 3 x 5. So, required number =
22 x
22 x
32 x
52 = 3600.Find the smallest square number that is divisible by each of the numbers 8, 15 and 20What is the least number that must be subtracted from 1377 to get a perfect square?What is the least perfect square number which is divisible by each of 12/15 18 and 27?What is the smallest number divisible by 8 and 12?What is the smallest perfect square divisible by 8 12 and 15?
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Solution
The correct option is D3600L.C.M. of 3, 4, 5, 6, 8 is 120. Now, 120 = 2 x 2 x 2 x 3 x 5. To get a perfect square, it has to be multiplied by 2 x 3 x 5. So, required number = 22 x 22 x 32 x 52 = 3600.
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100 Questions 100 Marks 120 Mins
Calculation:
3 = 3 × 1
4 = 2 × 2
5 = 5 × 1
6 = 3 × 2
8 = 2 × 2 × 2
LCM of 3, 4, 5, 6 and 8 = 2 × 2 × 2 × 3 × 5 = 120
2, 3 and 5 are not completed to make perfect square = 120 × 2 × 3 × 5 = 3600
∴ 3600 is least perfect square which is divisible by 3, 4, 5, 6 and 8.
Important Points
We can divide options containing squares by the LCM of 3, 4, 5, 6 and 8.
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Solution:
The number that will be perfectly divisible by each of the numbers 8, 15, and 20 will be their LCM.
LCM of 8,15, 20
= 2 × 2 × 2 × 3 × 5
= 120
Here we see that prime factors 2, 3, 5 do not have their respective pairs.
Therefore 120 is not a perfect square.
If 120 is multiplied by 2 × 3 × 5, then the number obtained will be a perfect square.
Therefore, 120 × 2 × 3 × 5 = 3600
Thus, the perfect square number is 3600 which is completely divisible by 8, 15, and 20.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 6
Video Solution:
Find the smallest square number that is divisible by each of the numbers 8, 15 and 20
[embed]https://www.youtube.com/watch?v=N5t1vYSHnXM[/embed]NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.3 Question 10
Summary:
The smallest perfect square number that is divisible each by 8, 15 and 20 is 3600
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What is the least number that must be subtracted from 1377 to get a perfect square?
Step-by-step explanation: 1377-8 = 1369 is a square root of 37 . hope it is helpful for you!!!!What is the least perfect square number which is divisible by each of 12/15 18 and 27?
Hence, the answer is 3600.What is the smallest number divisible by 8 and 12?
Answer: the smallest number which is divisible by 8 and 12 is 24.What is the smallest perfect square divisible by 8 12 and 15?
The smallest perfect square divisible by 8,12 and 15 is 3600. Tải thêm tài liệu liên quan đến nội dung bài viết Find the smallest perfect square which is divisible by each of 3, 5, 8 and 12.