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If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?
- a)75
- b)65
- c)15
- d)45
- e)35
Correct answer is option 'D'. Can you explain this answer?
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If least common multiple of two numbers is 225 and the highest common ...
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If least common multiple of two numbers is 225 and the highest common ...
The least common multiple (LCM) of two numbers is the smallest multiple that is divisible by both numbers. The highest common factor (HCF) of two numbers is the largest factor that is common to both numbers.
Given that the LCM of two numbers is 225 and the HCF is 5, we can determine the two numbers by finding their prime factorization and using the properties of LCM and HCF.
Prime factorization of 225:
225 = 3 * 3 * 5 * 5
Since the HCF is 5, one of the numbers must have a factor of 5. Let's assume one of the numbers is 25.
Prime factorization of 25:
25 = 5 * 5
Now, we need to find the other number. To do this, we divide the LCM by the product of the HCF and one of the numbers.
LCM = 225
HCF = 5
One of the numbers = 25
225 / (5 * 25) = 9
Therefore, the other number is 9.
So, the two numbers are 25 and 9, which means the correct answer is option 'D' (45).
To summarize:
- Prime factorization of 225: 3 * 3 * 5 * 5
- Prime factorization of 25: 5 * 5
- LCM divided by (HCF * one number) = 225 / (5 * 25) = 9
- The other number is 9
- The two numbers are 25 and 9, which corresponds to option 'D' (45).
Given that the LCM of two numbers is 225 and the HCF is 5, we can determine the two numbers by finding their prime factorization and using the properties of LCM and HCF.
Prime factorization of 225:
225 = 3 * 3 * 5 * 5
Since the HCF is 5, one of the numbers must have a factor of 5. Let's assume one of the numbers is 25.
Prime factorization of 25:
25 = 5 * 5
Now, we need to find the other number. To do this, we divide the LCM by the product of the HCF and one of the numbers.
LCM = 225
HCF = 5
One of the numbers = 25
225 / (5 * 25) = 9
Therefore, the other number is 9.
So, the two numbers are 25 and 9, which means the correct answer is option 'D' (45).
To summarize:
- Prime factorization of 225: 3 * 3 * 5 * 5
- Prime factorization of 25: 5 * 5
- LCM divided by (HCF * one number) = 225 / (5 * 25) = 9
- The other number is 9
- The two numbers are 25 and 9, which corresponds to option 'D' (45).
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If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer?.
If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?a)75b)65c)15d)45e)35Correct answer is option 'D'. Can you explain this answer?.
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