Question

if the L.C.M of two numbers 36×K,24is288 then the value of K is

Answer 1

We determine the value of k by equating the common factors of the two numbers and the LCM

SO,

24 = 2×2×2×3

36k =2×2×3×3×k

Facors common among them

= k×2×3×2×3

So,

288= 2×2×2×2×2×3×3

Now,

Equating both the sides,

k=2×2×2

k=8

so,

The value of k is 8

Hope this helps !!!!!!!!!