The least number, which when divided by 12, 15, 20 or 54

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The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is :

1. 450
2. 454
3. 540
4. 544

Correct Option: D

Here , Remainder ( r ) = 4
As we know that When a number is divided by a, b , c or d leaving same remainder ‘r’ in each case then that number must be k + r where k is LCM of a, b , c and d.
So , LCM of 15, 12, 20, 54 ( k ) = 540
Hence , Then number = k + r = 540 + 4 = 544