The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, what is the other number?
The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, what is the other number?
दो संख्याओं का ल०स० 864 है और उनका म०स० 144 है। यदि एक संख्या 288 है, तो दूसरी संख्या क्या है।
Detailed Solution & Logic
Correct Answer:
432
Use the relation:
Product of two numbers = LCM × HCF
So,
$288 \times \text{other number} = 864 \times 144$
Other number =
$\frac{864 \times 144}{288}$
Simplify:
$\frac{864}{288} = 3$
So,
$3 \times 144 = 432$
Final Answer: 432
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