If the HCF of xy3, x2y and x3y4 is xy, then their LCM is _______.

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)
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  1. x3y4
  2. x3y3
  3. x4y3
  4. x4y4

Answer (Detailed Solution Below)

Option 1 : x3y4
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Detailed Solution

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Given: 

HCF of xy3, x2y and x3y4 is xy

Concept Used:

LCM of given variable is equal to product variable with highest power of each variable.

Calculation:

In xy3, x2y and x3y4
Highest power of x = 3

Highest power of y = 4

So, 

LCM = x3y4

Hence, 'x3y4' is the correct answer.

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