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What is the least positive number that can be added to 2488 so that it is completely divisible by 3, 4, 5 and 6?
34
28
32
42
32
Finding Least Number to Add to 2488 for Divisibility by 3, 4, 5, and 6
Given number = 2488, Divisors = 3,4,5,6
Find the LCM of the Divisors
LCM(3,4,5,6)=22×3×5=60
Common divisor is 60
Divide 2488 by the LCM
2488=60×41+28 The remainder is 28.
Remainder=28
Calculate the Number to be Added
Number to add=Divisor−Remainder=60−28=32 Then, 2488+32=2520, which is exactly divisible by 60.
Least positive number to add=32
Option C is correct — 32