Question

The h.C.F. Of two numbers is 23 and the other two factors of their l.C.M. Are 13 and 14. The larger of the two numbers is

Answer 1

Answer:

Step-by-step explanation:

HCF is 23. So the other two number would be,

(23 * 13) and (23 * 14).

Thus Larger Number = 23 * 14 = 322.

Answer 2

$\huge\sf\underline{\underline{Solution:}}$

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Given that :

• The HCF of two numbers is 23.

• The other two factorsof their LCM are 13 and 14.

To find :

• The largest number.

As given,

Highest Common Factor in the numbers = 23

So,

23 is a factor of the LCM.  

The other two factors in the LCM are 13 and 14.

•°• The factors of the LCM are 23, 13, 14.

Now,

Number can be taken as :

⇒ 23 × 13

⇒ 299

⇒ 23 × 14

⇒ 322

So,

⇒ 299 < 322

∴ The number given answer is 322.