Question

find the greatest no. of 5 digit exactly divisible by 12 , 15 and 36.

please do it in a paper .....plz

Answer 1

Hey there!


First we will find the LCM of 12,15 and 36

By prime Factorisation,

12=2*2*3

15=5*3

36=2*2*3*3

Now, LCM= 22*32*5

We will find that the LCM is 180

Now, Largest 5 digit number= 99999

Dividing this number by LCM, we get,

99999/180=555.5

Now we will multiply 180 by 555

We will get 99900

We will check now and observe,

99900/12=8325

99900/15=6660

99900/36=2775

Hence 99900 is the greatest 5 digit number divisible by 12,15 and 36.

Hope it helped!☺️

Answer 2

The answer is 99900.

Method

For the number to be exactly divisible by all the three numbers i.e 15,12 and 25 , we have to take their LCM.

LCM=300.

Now it is asked that number should be greatest 5 digit number. So, in order to find out the such number, divide 99999 by 300. The quotient ×300 (333×300) is the answer which would be largest 5 digit number.