20. Determine the greatest 4-digit number exactly divisible by 6, 9 and 15
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Answer:
What is the greatest 4 digit number divisible by each of the numbers 6, 9,15?
Prime factors of 6,9 and 15 are-
6=2 x 3
9=3 x 3
15=3 x 5
L.C.M of 6,9 and 15=90
Greatest 4 digit number is 9999.
When we divide 9999 by 90.
That is 9999/90 (Purely divide 9999 by 90 without reducing it to 1111/10 )
Remainder is 9.
So, the required number = Largest 4 digit number - Remainder
=9999−9
=9990
Therefore, our answer is 9990.
Hope U Understand…
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