Question

If the hcf and multiplication of two numbers are respectively 4 and 36, find lcm of the given two numbers.

Answer 1

Given :

• H.C.F. of two numbers = 4
• Product of those numbers = 36

To find :

• L.C.M. of those numbers

Solution :

We know, L.C.M. × H.C.F. (respectively of two numbers) = Product of those two numbers

Thus, L.C.M. = Product of those numbers

____________________

H.C.F. of the numbers

= 36/4

= 9

•°• Required L.C.M. = 9

Answer 2

Let us assume that ,

The two numbers are a and b

Given that ,

• HCF(a,b) = 4
• a × b = 36

We know that ,

$\large \sf \fbox{ LCM(a,b) = \frac{a \times b}{HCF(a,b)} }$

Thus ,

$\sf \mapsto LCM(a,b) = \frac{36}{4} \\ \\ \sf \mapsto LCM(a,b) = 9$

$\therefore \sf \underline{The \: LCM \: of \: two \: numbers \: is \: 9}$