Answer: 
Step-by-step explanation:
Since, The LCM of numbers given numbers
,
,
and
is
.
Thus, the number that gives 1 as reminder and is the multiple of 7 is 
Where n is any positive integer,
Since, For
,
The number is, 
Which is divisible by
.
Thus, the required number is 301.
Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241
But they are not the multiple of 7.