Question

4. 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

HCF*LCM=a*b
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
b=322
So, The greatest no. be 322....

Answer 2

$\huge\sf{\underline{\underline{Answer}}}$

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.

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