Find the least 5 digits Number which is exactly divisible by 20 25 and 30
Answers
Answer:
the number which is divisible by all three no. 20,25,30 is the number which is common in their prime Factoisation nd the common number is 125.
alternative method.....
we can also take the LCM of all the three numbers and i.e., 300.
Step-by-step explanation:
When you have these kinds of questions where you need to find least or smallest number mostly you need to do is take the L.C.M of the given numbers.
So,
LCM of 20 ,25 and 30 would come 300 but as per the question we have to find least five digit .
Smallest five digit number is10000
Hence we will divide 10000 by 300 and the remainder would be 100.
Now our question is 100 should be increased by how much so that the resulting number is divisible by 300
Since, 300-100=200
Therefore(10000+200)=10200 is the least five digit number exactly divisible by 300(i.e.20, 25 and 30)
Hope it helps!