Question:
The LCM of two numbers is 495 and their HCF is 5. If one of the numbers is 45, find the other number.
The LCM of two numbers is 495 and their HCF is 5. If one of the numbers is 45, find the other number.
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Use the fact that HCF times LCM equals the product of the two numbers, approached through prime factorization and coprime cofactors rather than direct division.
Updated On: Jul 8, 2026
- 45
- 55
- 65
- 75
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The Correct Option is B
Solution and Explanation
Product of two numbers \(=\) LCM \(\times\) HCF \(=495\times 5=2475\). Other number \(=\frac{2475}{45}=55\). Correct option: 55.
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