Question

1
Ex. 22. Find the greatest number of five digits which is divisible by 15, 21 and 36​

Answer 1

Step-by-step explanation:

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.

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