A) \[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\]
B) \[2\times 3\times 7\times 5\times 11\]
C) \[{{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\times {{7}^{2}}\times 11\]
D) \[{{2}^{4}}\times {{3}^{4}}\times {{5}^{4}}\times 7\]
Correct Answer: C
Solution :
| [c] Given prime factors, \[({{2}^{3}}\times 3\times {{5}^{2}}\times 7);\] \[({{\underline{2}}^{4}}\times {{3}^{2}}\times 5\times {{\underline{7}}^{2}}\times 11);\,\,(2\times {{\underline{3}}^{3}}\times {{\underset{\scriptscriptstyle-}{5}}^{4}})\] \[\therefore \] Required LCM = Product of prime factors having highest powers \[={{2}^{4}}\times {{3}^{3}}\times {{5}^{4}}\times {{7}^{2}}\times 11\] |
You need to login to perform this action.
You will be redirected in
3 sec
