The largest number of four digits that is divisible by 12, 15 and 18 is:
Given:
Find the largest four-digit number divisible by 12, 15, and 18.
Solution:
L.C.M. of 12, 15, 18 = 180
Largest 4-digit number is 9999.
To find the largest 4-digit number exactly divisible by 12, 15, 18 we have to divide the 9999 by 180 and subtract the remainder from 9999.
When we divide the 9999 by 180, the remainder is 99.
Required number = 9999 – 99 = 9900
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