Question
Download Solution PDFThe ratio of least common multiple (LCM) and greatest common factor (HCF) of two numbers is 3 : 1, and the product of those numbers is 432. Find the value of least common multiple (LCM) and greatest common factor (HCF) respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of least common multiple (LCM) and greatest common factor (HCF) of two numbers is 3:1
The product of those two numbers is 432
Formula used:
LCM × HCF = Product of the two numbers
Calculation:
Let the HCF be x
Then, LCM = 3x
Given: LCM × HCF = 432
⇒ 3x × x = 432
⇒ 3x2 = 432
⇒ x2 = 144
⇒ x = 12
⇒ LCM = 3x = 3 × 12 = 36
∴ The correct answer is option (1): 36 and 12.
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