A) \[{{2}^{2}}\times {{3}^{2}}\times 7\]
B) \[{{2}^{2}}\times {{3}^{3}}\times 103\]
C) \[{{2}^{2}}\times {{3}^{2}}\times 5\]
D) \[{{2}^{4}}\times {{3}^{2}}\times 11\]
Correct Answer: C
Solution :
| Sol. [c] \[2472={{2}^{3}}\times 3\times 103\] |
| \[1284={{2}^{2}}\times 3\times 107\] |
| \[LCM={{2}^{3}}\times {{3}^{2}}\times 5\times 103\times 107\] |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,N={{2}^{2}}\times {{3}^{2}}\times 5=180\] |
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