Find the greatest number of four digit which is exactly divisible by each 8,12,18,30
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1st step: find the LCM of 8,12,18 and 30 that will come 360.
2nd step: As the greatest 4digit number is 9999.
Therefore, divide this 9999 by 360(LCM which we got in the 1st step).
The reminder after dividing will be 279. This means we 279 extra.
So we will simply subtract 279 from 9999.
We will get 9720.
This number is the greatest 4 digit number exactly divisible by 8,12,18 and 30
Step-by-step explanation:
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