Let x be the smallest number which when subtracted from 31560 makes the resulting number divisible by 13, 16, 25 and 30. The product of the digits of x is :

LCM of 13, 16, 25 and 30 = 15,600 Multiple of 4320 = 31200 ∴ Required number = 31560 – 31200 = 360 =>x = 360 ∴ Sum of digits = 3 x 6 x 0 = 0

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