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The HCF of two positive integers is 5 and their LCM is 105. The numbers are

A) 5, 105
B) 15, 35
C) 5, 105 or 15, 35
D) None of these

Correct Answer:



C) 5, 105 or 15, 35

Description for Correct answer:
Let the positive numbers be 5x and 5y.

\( \Large 5x \times 5y = 5 \times 105 \)

\( \Large xy = 21 \)

x = 3, y = 7

Numbers are \( \Large 3 \times 5 \ and \ 7 \times 5\ is\ 15\ and\ 35 \)

HCF of 5 and 105 is 5

LCM of 5 and 105 is 105

The numbers are 15, 35 or 5, 105

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

Comments

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