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What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?
- a)1260
- b)1263
- c)1267
- d)1253
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the smallest number which when diminished by 7 is divisible by...
LCM of 21, 28, 36, 45 = 1260
Required Number = 1260 + 7 = 1267
Required Number = 1260 + 7 = 1267
Most Upvoted Answer
What is the smallest number which when diminished by 7 is divisible by...
To find the smallest number that satisfies all of the given conditions, we need to find the least common multiple (LCM) of 21, 28, and 36.
Prime factorization of 21: 3 * 7
Prime factorization of 28: 2^2 * 7
Prime factorization of 36: 2^2 * 3^2
To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 7 = 84.
Therefore, the smallest number that is divisible by 21, 28, and 36 is 84.
To find the number that, when diminished by 7, is divisible by 84, we subtract 7 from 84:
84 - 7 = 77.
So, the smallest number that, when diminished by 7, is divisible by 21, 28, and 36 is 77.
Prime factorization of 21: 3 * 7
Prime factorization of 28: 2^2 * 7
Prime factorization of 36: 2^2 * 3^2
To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 7 = 84.
Therefore, the smallest number that is divisible by 21, 28, and 36 is 84.
To find the number that, when diminished by 7, is divisible by 84, we subtract 7 from 84:
84 - 7 = 77.
So, the smallest number that, when diminished by 7, is divisible by 21, 28, and 36 is 77.
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What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer?.
What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the smallest number which when diminished by 7 is divisible by 21, 28, 36 & 45?a)1260b)1263c)1267d)1253Correct answer is option 'C'. Can you explain this answer?.
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