Question

the the LCM of 48 and x6 is 144 which number should replace at x ?

Answer 1

Answer:

Step-by-step explanation:

Your question doesn't have one answer, but many!

Here is how I solved it :-

Factors of 144:

144×1

72×2

48×3

36×4

24×6

18×8

16×9

12×12

Now, one of the number is 48 and the L.C.M is 144

So, we will choose the numbers given above which satisfies both the equation. Here are the LCMs of the combinations with 48:

48,1=48

48,2=48

48,3=48

48,4=48

48,6=48

48,8=48

48,9=144−(I)

48,12=48

48,16=48

48,18=144−(II)

48,24=48

48,36=144−(III)

48,48=48

48,72=144−(IV)

48,144=144−(V)

∴ , The value of x is 9,18,36,72,144

Hope I answered your question!