Question
Download Solution PDFIf the Least Common Multiple (LCM) of 27 and n is 54, and Greatest Common Factor (HCF) is 9, then find the value of n.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
LCM(27, n) = 54
HCF(27, n) = 9
Formula used:
LCM(a, b) × HCF(a, b) = a × b
Calculation:
LCM(27, n) × HCF(27, n) = 27 × n
54 × 9 = 27 × n
⇒ 486 = 27 × n
⇒ n = 486 ÷ 27
⇒ n = 18
∴ The correct answer is option (4).
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