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The HCF of two numbers is 29 and the other two factors of their LCM are 13 and 17. The smallest of the two numbers is:
Question

The HCF of two numbers is 29 and the other two factors of their LCM are 13 and 17. The smallest of the two numbers is:

A.

493

B.

373

C.

377

D.

387

Correct option is C

Given:

The HCF of two numbers is 29, and the other two factors of their LCM are 13 and 17

Formula Used:
The LCM is the product of the HCF and the two other factors.

Solution:
LCM = 29×13×1729 \times 13 \times 17 ​​
One of the numbers is  29×1329 \times 13​ 

The other number is 29×1729 \times 17​ .
The smallest of the two numbers is:
29 ×\times​ 13 = 377
Thus, the smallest of the two numbers is 377.

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