Math, asked by renumahato567, 3 months ago

Find the least number which is a perfect square exactly divisible by 16, 24 and 32.

Answers

Answered by harshitha202034
0

Step-by-step explanation:

Let \:  \:  us \:  \:  find  \:  \: the \:  \:  LCM \:  \:  of  \:  \: 16, \:  24, \:  32 \\ 16 \:  ➺  \: 2  \times  2  \times 2  \times  2 \\ 24 \: ➺ \: 2 \times 2  \times  2  \times  3 \\ 32 \: ➺ \: 2 \times 2 \times 2 \times 2 \times 2 \\ \\ LCM  \:  \: of \:  \:  16, \:  \:  24,  \:  \: 32 \\➺ \:  2 × 2× 2 × 2 × 2 × 3 \\ \\ Least  \:  \: Perfect \:  \:  Square  \:  \: can  \:  \: be :  \\ ➺ \:  {2}^{4}  \times  {2}^{2}  \times  {3}^{2}  \\ ➺ \: 16 \times 4 \times 9 \\  ➺ \:  \large{ \bf{576}}

Similar questions