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What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?
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What is least possible number which when divided by 24,32,or 42 in eac...
For least number first we take lcm of 24 , 32, and 42
24= 2^3*3
32=2^5
42=2*3*7
thus lcm is 672 but it leaves remainder 5 when divided by 24,32 or 42 so number is 677
24= 2^3*3
32=2^5
42=2*3*7
thus lcm is 672 but it leaves remainder 5 when divided by 24,32 or 42 so number is 677
Community Answer
What is least possible number which when divided by 24,32,or 42 in eac...
Least Possible Number with Remainder 5
To find the least possible number that leaves a remainder of 5 when divided by 24, 32, and 42, we need to find the least common multiple of these numbers.
Finding the Least Common Multiple (LCM)
- The LCM of 24, 32, and 42 can be calculated by finding the prime factorization of each number.
- Prime factorization of 24: 2 x 2 x 2 x 3
- Prime factorization of 32: 2 x 2 x 2 x 2 x 2
- Prime factorization of 42: 2 x 3 x 7
- LCM = 2 x 2 x 2 x 2 x 2 x 3 x 7 = 672
Adding Remainder 5
- To find the number that leaves a remainder of 5 when divided by 24, 32, and 42, we need to add 5 to the LCM.
- Number = LCM + 5 = 672 + 5 = 677
Therefore, the least possible number that leaves a remainder of 5 when divided by 24, 32, and 42 is 677.
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What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?
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What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? 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 What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?.
What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? 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 What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is least possible number which when divided by 24,32,or 42 in each case it leaves the remainder 5?.
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