find the smallest 5-digit number which is exactly divisible by 27,19and48
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step by step explanation:-
Smallest 5 - digit number = 10000,
To find smallest 5 - digit number which is exactly divisible by 27, 19 and 48, we have to find LCM of given numbers first.
19 = 19,
27 = 3*3*3,
48 = 2*2*2*2*3.
LCM = 2*2*2*2*3*3*3*19 = 8208.
10000 can be written as (8208+1792).
So, (8208*2) = 16416 will be the smallest number which is exactly divisible by 19, 27 and 48.
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