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# The HCF of two numbers is 138 and their LCM is 98154. If one of the numbers is 1558. The other number is____.

Given:

HCF of two numbers $=38$

LCM of two numbers $=98154$

To do:

We have to find the other number.

Solution:

First number $= 1558$.

Let the other number be $x$.

We know that,

Product of two numbers $= $LCM $\times$ HCF

$x \times 1558 = LCM \times HCF$

$x \times 1558 = 38\times 98154$

$x =\frac{38\times98154}{1558}$

$x=38\times63$

$x =2394$

Therefore, the other number is 2394.

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