Question

The HCF of two numbers is 13 and LCM is 1001. Find the larger number.

• A. 276
• B. 322
• C. 299
• D. 345

Answer 1

The correct option is B

322

Given: HCF = 13 and LCM = 1001

Let the smaller number be A and larger number be B.

HCF x LCM = Product of two numbers

$\Rightarrow$ $13\times 1001=A\times B$

Factorising 1001 we get, 1001 = $13\times 7\times 11$

$\Rightarrow$ $13\times 7\times 13\times 11=A\times B$

$B=13\times 11=143$