Question

Find the greatest 3 digit number that when divided by 10,12&15 leaves remainder of 5 in each case

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.

Answer 2

Step-by-step explanation:

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