Question

Greatest 3 digit number that is divisible by 9 18 and 15

Answer 1

Step 1:

The first thing to do when you see divided by 5,9, and 15, is to find LCM.

LCM(5,9,15) = 45

Step 2:

Find greatest 3 digit multiple of the LCM (45).

This is 990

Step 3:

Since it leaves a remainder 3, you can add 3 to the greatest digit and get your answer.

990 + 3 = 993

PS: If adding would have made it cross 1000, then do the same for the second greatest multiple of the LCM.

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Manmohan Shrivastava, All is competition

Answered May 18, 2017

The greatest three digit number divisible by 5, 9 and 15 is 990.

Since the greatest number divisible by 5, 9 and 15 leaves remainder of 3 therefore the number is -

990 + 3= 993

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Badarinath Hs, Civil engineer

Answered Jul 11, 2017

The LCM of 5,9 and 15 is 45. The largest 3-digit number is thus 45x22 = 990. Next add 3 to 990 to get 993, which is the desired number.

Check: 993/5 = 198 as quotient and 3 as remainder.

993/9 = 110 as quotient and 3 as remainder.

993/15 = 66 as quotient and 3 as remainder.

Answer is 993.

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Prashant Pandit, Head Central Planning Cell at Reliance Industries Limited (1997-present)

Answered Jul 4, 2017

You have to find LCM first

In this case it is 90. Now any multiple of 90 is divisible by all these numbers. So largest three digit no is 990 and so 993 is the largest three digit no which will give 3 as reminder when divided by these number.