Question

L.C.M of two numbers is 12 and H.C.F of same two numbers is 2. If one of the numbers is 6, then find the other number.

• A. 6
• B. 4
• C. 12
• D. 14

Answer 1

The correct option is B

4

Give that, LC.M = 12, H.C.F = 2 and one number = 6

H.C.F $\times$ L.C.M of any two numbers = Product of those numbers
$\therefore$ The other number $=\frac{\text{Product of H.C.F and L.C.M}}{\text{One number}}=\frac{2\times 12}{6}=4$

Hence, the other number is 4.