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Find the least five digit number which is exactly divisible by 20,25,30?
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Find the least five digit number which is exactly divisible by 20,25,3...
To find the least five-digit number that is exactly divisible by 20, 25, and 30, we need to follow these steps:
Step 1: Find the Least Common Multiple (LCM)
- The first step is to determine the LCM of the numbers 20, 25, and 30.
- Prime Factorization:
- 20 = 2^2 × 5
- 25 = 5^2
- 30 = 2 × 3 × 5
- Taking the highest power of each prime:
- 2^2 (from 20)
- 3^1 (from 30)
- 5^2 (from 25)
- Calculate the LCM:
- LCM = 2^2 × 3^1 × 5^2 = 4 × 3 × 25 = 300
Step 2: Find the Least Five-Digit Number
- The least five-digit number is 10000.
- To find the least five-digit number divisible by 300, we can divide 10000 by 300 and then round up to the nearest whole number:
- 10000 ÷ 300 = 33.33...
- Rounding up gives us 34.
Step 3: Calculate the Result
- Now, multiply 34 by 300 to find the required five-digit number:
- 34 × 300 = 10200
Conclusion
- The least five-digit number that is exactly divisible by 20, 25, and 30 is:
- 10200
Step 1: Find the Least Common Multiple (LCM)
- The first step is to determine the LCM of the numbers 20, 25, and 30.
- Prime Factorization:
- 20 = 2^2 × 5
- 25 = 5^2
- 30 = 2 × 3 × 5
- Taking the highest power of each prime:
- 2^2 (from 20)
- 3^1 (from 30)
- 5^2 (from 25)
- Calculate the LCM:
- LCM = 2^2 × 3^1 × 5^2 = 4 × 3 × 25 = 300
Step 2: Find the Least Five-Digit Number
- The least five-digit number is 10000.
- To find the least five-digit number divisible by 300, we can divide 10000 by 300 and then round up to the nearest whole number:
- 10000 ÷ 300 = 33.33...
- Rounding up gives us 34.
Step 3: Calculate the Result
- Now, multiply 34 by 300 to find the required five-digit number:
- 34 × 300 = 10200
Conclusion
- The least five-digit number that is exactly divisible by 20, 25, and 30 is:
- 10200
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Find the least five digit number which is exactly divisible by 20,25,30? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the least five digit number which is exactly divisible by 20,25,30? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the least five digit number which is exactly divisible by 20,25,30?.
Find the least five digit number which is exactly divisible by 20,25,30? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the least five digit number which is exactly divisible by 20,25,30? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the least five digit number which is exactly divisible by 20,25,30?.
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