Question

If HCF of 65 and 117 is 13, LCM of 65 and 117 is 45a, then the value of a is *

1 point

9

11

13

17​

Answer 1

Given data:

The HCF of 65 and 117 is 13 and the LCM is 45a

To find:

The value of 'a'

Step-by-step explanation:

We know that, the product of HCF and LCM of two numbers is equal to the product of the two numbers

⇒ 13 × 45a = 65 × 117

⇒ a = (65 × 117) / (13 × 45)

⇒ a = (5 × 13 × 9 × 13) / (13 × 5 × 9)

⇒ a = 13

Answer:

Option (C) a = 13

NOTE:

Let us find the LCM of the numbers 65 and 117

Here, 65 = 5 × 13 and 117 = 3 × 3 × 13

Thus LCM of 65 and 117 is (3 × 3 × 5 × 13) = 585

Given, 45a = 585 ⇒ a = 13.

Answer 2

HOPE IT IS HELPFUL....