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Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ?
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Find the number nearest to 5734 which is exactly divisible by 3 as wel...
Nearest Number Divisible by 3 and 7
To find the number nearest to 5734 which is exactly divisible by both 3 and 7, we need to understand the concept of finding the least common multiple (LCM) of two numbers.
Finding the LCM of 3 and 7
- The LCM of 3 and 7 is the smallest number that is divisible by both 3 and 7.
- LCM(3, 7) = 3 * 7 = 21
Finding the Nearest Number
- To find the number nearest to 5734 which is exactly divisible by 3 and 7, we need to divide 5734 by 21.
- Dividing 5734 by 21 gives us a quotient of 273 with a remainder of 1.
- This means that the nearest number to 5734 which is exactly divisible by 3 and 7 is obtained by subtracting the remainder (1) from 5734.
- Therefore, the nearest number to 5734 which is exactly divisible by 3 and 7 is 5734 - 1 = 5733.
Thus, the number nearest to 5734 which is exactly divisible by both 3 and 7 is 5733.
To find the number nearest to 5734 which is exactly divisible by both 3 and 7, we need to understand the concept of finding the least common multiple (LCM) of two numbers.
Finding the LCM of 3 and 7
- The LCM of 3 and 7 is the smallest number that is divisible by both 3 and 7.
- LCM(3, 7) = 3 * 7 = 21
Finding the Nearest Number
- To find the number nearest to 5734 which is exactly divisible by 3 and 7, we need to divide 5734 by 21.
- Dividing 5734 by 21 gives us a quotient of 273 with a remainder of 1.
- This means that the nearest number to 5734 which is exactly divisible by 3 and 7 is obtained by subtracting the remainder (1) from 5734.
- Therefore, the nearest number to 5734 which is exactly divisible by 3 and 7 is 5734 - 1 = 5733.
Thus, the number nearest to 5734 which is exactly divisible by both 3 and 7 is 5733.
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Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ?
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Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ?.
Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the number nearest to 5734 which is exactly divisible by 3 as well as by 7 ?.
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