Question

MATHS

1. The h.c.f. of two numbers is 23 and the other two factorsof their l.c.m. are 13 and 14 the larger of two numbers is ?
​

Answer 1

Answer:

The largest number is 322.

Step-by-step explanation:

The Accurate Question :

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?

Solution :

Given :

• The HCF of two numbers is 23.
• The other two factorsof their LCM are 13 and 14.

To Find :

The largest number.

Solution :

As given,

Highest Common Factor in the numbers = 23

So,

23 is a factor of the LCM.  

∵ The HCF always will be the 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

Now,

We get two numbers :

• 299
• 322

So,

⇒ 299 < 322

∴ The largest number is 322.

Answer 2

Answer:

322

I HOPE THIS HELP YOU