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The product of two numbers is 2025 and their HCF is 15. What is their LCM?

  • a)
    135

  • b)
    180

  • c)
    145

  • d)
    225

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The product of two numbers is 2025 and their HCF is 15. What is their ...
Factors of 2025:
- The prime factorization of 2025 is 3 x 3 x 3 x 3 x 5 x 5, which can be written as 3^4 x 5^2.

Factors of 15:
- The prime factorization of 15 is 3 x 5, which can be written as 3^1 x 5^1.

HCF and LCM relationship:
- The product of two numbers is equal to the product of their HCF and LCM.
- Therefore, HCF * LCM = 15 * LCM = 2025.
- LCM = 2025 / 15 = 135.
Therefore, the LCM of the two numbers is 135. Option A is the correct answer.
Community Answer
The product of two numbers is 2025 and their HCF is 15. What is their ...
HCF × LCM = Product of numbers.
LCM = 2025 / 15 = 135.
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The product of two numbers is 2025 and their HCF is 15. What is their LCM?a)135b)180c)145d)225Correct answer is option 'A'. Can you explain this answer?
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