Question

If the L.C.M. of 36 x k, 48 is 720, then find the number of possible values of k.​

Answer 1

Step-by-step explanation:

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

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