Question

find the least number of five digit which is exactly divisible by 10 15 20 and 25
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Answer 1

Answer:

5

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Answer 2

Answer:

$\color{darkcyan} \pmb{\begin{array}{c|c} 2 & 10,15,20,25 \\ \hline 2 & 5,15,10,25 \\ \hline 3 & 5,15,5,25 \\ \hline 5 & 5,5,5,25 \\ \hline 5 & 1,1,1,5 \\ \hline & 1,1,1,1 \end{array}}$

$\text{ \(\therefore \) Required \( \tt L C M \) of \( 10,15,20 \) and 25}$

$=2 \times 2 \times 3 \times 5 \times 5=300$

Least 5 digit number is 10000

$\text{\( \therefore \) We will multiply the LCM by a} \\ \text{ number that makes it the least 5 digit} \\ \text{number divisible by \( 10,15,20 \) and 25 .}$

$\therefore 300 \times 34=10200 .$

Hence, the least 5 digit number divisible by 10,15,20 and 25 is 10200 .