Question
Determine the largest $3-$digit number exactly divisible by $8, 10$ and $12.$
✓
Answer
$\therefore L.C.M.$ of $8, 10$ and $12 = 2 \times 2 \times 2 \times 3 \times 5 = 120.$
Multiple of $120$ are:
$120 \times 1 = 120, 120 \times 2 = 240, $
$120 \times 3 = 360, 120 \times 4 = 480, $
$120 \times 5 = 600, 120 \times 6 = 720, $
$120 \times 7 = 840, 120 \times 8 = 960, $
$120 \times 9 = 1080, ....$
Hence, the largest $3-$digit number exactly divisible by $8, 10$ and $12$ is $960.$
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