Question

The greatest number of 3 digits when divided by 10,12,15
leaving remainder 4 in each case is​

Answer 1

Explanation:

Step 1- find L.C.M of given number

L.C.M of 6,9 and 12 is 36

step 2- find largest 3 digit number is divisible by 36

largest 3 digit number is 999 and largest 3 digit number is divisible by 36 is 972

step3-add the remainder to the number

972+3=975

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Answer 2

Answer:

1st step:

The LCM of 10, 12, 15 is 60

2nd step:

The greatest 3 digit number is 999

now, 960 is exactly divisible by 60.

hence, if we add 960+4 = 964. which will give 4 as remainder when divided by 10, 12, 15.