Question

The largest positive integer which exactly divided 504 and x is 36. The smallest natural number which is divisible by both 504 and x is 7560 then value of x is

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$x=540$

Step-by-step explanation:

The largest positive number that divides 504 and X is 36, i.e. 36 is the Highest common factor here.

The smallest number that is divisible by both 504 and X is 7560, which means 7560 is the least common multiple of the two numbers here.

As we know that the product of the HCF and LCM of the numbers is equal to the products of the numbers themselves.

So,

$504\times x=7560\times 36$

$x=540$

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TOPIC: HCF LCM

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