Question

what is the least 5-digit number which
is exactly divisible by 20,25,30​

Answer 1

Answer:

10200

Step-by-step explanation:

Solution :-

To find the least 5 digit number which is exactly divisible by 20, 25 and 30, we have to find the LCM of 20, 25 and 30

20 = 2*2*5

25 = 5*5

30 = 2*3*5

LCM = 2*2*3*5*5

= 300

So, LCM of 20, 25 and 30 is 300. But we need the least 5 digit number, which is exactly divisible by 20, 25 and 30. 

Least 5 digit number = 10000.

10000 = (33*300) + 100

Next higher quotient is 34.

So, the required number = 34*300 

= 10200

Hence, the required number is 10200, which is exactly divisible by 20, 35 and 30.