# If the LCM of two numbers is thrice their HCF and their product is 243, then find their LCM.

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If the LCM of two numbers is thrice their HCF and their product is 243, then find their LCM.
1. 81
2. 9
3. 27
4. 36

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Correct Answer - Option 3 : 27

Given:

The product of two numbers is 243

Their LCM is thrice of their HCF

Formula used:

Product of two numbers = HCF × LCM

Calculation:

Let the HCF be x and LCM be 3x

Now, from the formula, we can write, 3x × x = 243

⇒ 3x2 = 243

⇒ x2 = 81

⇒ x = 9

⇒ 3x = 27

∴ The LCM of the two numbers is 27.

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