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Question
The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is
Options
1257
1260
1263
none of these
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Solution
1263
The smallest number that is exactly divisible by 14, 28, 36, and 45 will be their L.C.M.
So, the required number will be L.C.M. plus 3.
L.C.M. of the three numbers = 22 × 32 × 5 × 7
= 1260
∴ Required number = 1260 + 3 = 1263
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