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The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 is
- a)1001
- b)1000
- c)1002
- d)1080
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27...
Given: 4 numbers - 12, 15, 18 and 27
To find: Smallest 4-digit number that is divisible by all the given numbers.
Approach:
- Find the LCM of the given numbers.
- Check for the smallest 4-digit number that is divisible by the LCM found above.
Calculation:
- LCM of 12, 15, 18 and 27 is 540.
- The smallest 4-digit number that is divisible by 540 is the smallest number that is greater than or equal to 1000 and is divisible by 540.
- Dividing 1000 by 540, we get 1 as the quotient and 460 as the remainder.
- So, the smallest 4-digit number that is divisible by 540 is 1000 + (540 - 460) = 1080.
Hence, the correct answer is option D, i.e., 1080.
To find: Smallest 4-digit number that is divisible by all the given numbers.
Approach:
- Find the LCM of the given numbers.
- Check for the smallest 4-digit number that is divisible by the LCM found above.
Calculation:
- LCM of 12, 15, 18 and 27 is 540.
- The smallest 4-digit number that is divisible by 540 is the smallest number that is greater than or equal to 1000 and is divisible by 540.
- Dividing 1000 by 540, we get 1 as the quotient and 460 as the remainder.
- So, the smallest 4-digit number that is divisible by 540 is 1000 + (540 - 460) = 1080.
Hence, the correct answer is option D, i.e., 1080.
Community Answer
The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27...
Nothing to Explain Here ...Just Do calculations and have the correct answer
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The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 isa)1001b)1000c)1002d)1080Correct answer is option 'D'. Can you explain this answer?
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The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 isa)1001b)1000c)1002d)1080Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 isa)1001b)1000c)1002d)1080Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest number of 4 digits exactly divisible by 12, 15, 18 and 27 isa)1001b)1000c)1002d)1080Correct answer is option 'D'. Can you explain this answer?.
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