Question

Find the smallest 5 digit number divisible by 8,15,20,25

Answer 1

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Answer 2

The smallest 5 digit number divisible by 8,15,20,25 is 10200.

Step-by-step explanation:

To find : The smallest 5 digit number divisible by 8,15,20,25?

Solution :  

The smallest 5-digit number is 10000.

We find the LCM of 8,15,20,25,

2 | 8  15  20  25

2 | 4  15  10   25

2 | 2  15  5   25

5 | 1  15   5   25

5 | 1   3    1    5

3 | 1   3    1    1

  | 1   1     1    1

$LCM(8,15,20,25)=2\times2\times 2\times 3\times 5\times 5$

$LCM(8,15,20,25)=600$

Divide 10000 by 600 so that we get the remainder,

$\frac{10000}{600}= 16.66$

Nearest number is 17.

i.e. $600\times 17=10200$

Therefore, the smallest 5 digit number divisible by 8,15,20,25 is 10200.

#Learn more

The sum of the digits of a 2 digit no. is . If the nos. formed by reversing the digit is less than the original no. by27 find nu

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