Question

If lcm and hcf of two numbers are equaland productof two numbers is 2916 find lcm

Answer 1

Hey,

We have been told:-

HCF = LCM

and product of numbers = 2916

Let, the value of HCF and LCM be 'x'.

According to question:-

x² = 2916

x = √2916

x = 54

So, the LCM is 54 !

Answer 2

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Here is your answer
The product of the two numbers is 2916

Let the LCM is x

As LCM AND HCF ARE EQUAL SO
HCF = x

Now We know that
LCM × HCF = Product of the two numbers
$x \times x = 2916 \\ x {}^{2} = 2916 \\ x = \sqrt{2916} \\ x = 54$
Therefore

LCM is 54

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