Question

If the H.C.F. of two numbers is 3 and their product 180. Then find their L.C.M.

• A. 50
• B. 40
• C. 60
• D. 180

Answer 1

The correct option is C 60

We know that
Product of two number = H.C.F. $\times$ L.C.M.
Let two number be X and Y.
According to the question:
X $\times$ Y = 180 and H.C.F. = 3

$\therefore$ X $\times$ Y = H.C.F. $\times$ L.C.M.

180 = 3 $\times$ L.C.M.

L.C.M. = $\frac{180}{3}$

L.C.M. = 60.