If HCF (18 , 504) = 18, find LCM (18,504).

Given :

HCF of 18 and 504 is 18.

To find :

We have to find the LCM of 18 and 504

Solution :

If x and y are two numbers, then

$$LCM (x , y) \times HCF (x , y) = Product of the two numbers(x\times y)$$

$LCM (18 , 504) \times HCF (18 , 504) = 18\times 504$

$LCM (18 , 504) \times 18 = 18\times 504$

$LCM (18 , 504) =\frac{18\times 504}{18} $

$LCM (18 , 504) = 504 $

Therefore, LCM (18 , 504) is 504.

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Updated on: 10-Oct-2022

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