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The product of two number is 216. If the HCF is 6, then their LCM is?

This question was previously asked in
Maha TAIT Official Paper (Held On 13 Dec 2017 Shift 1)
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  1. 72
  2. 60
  3. 48
  4. 36

Answer (Detailed Solution Below)

Option 4 : 36
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Detailed Solution

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Given:

HCF =  6

The product of two number = 216

Calculation:

Let's assume that the numbers are 6x and 6y

LCM = 6xy   ....(1)

According to the question:

6x × 6y = 216

xy = 6    ....(2)

From equation (1) and (2)

LCM = 6 × 6 = 36

The correct option is 4 i.e. 36         

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