Find the greatest number of 3-digits which is exactly divisible by 27, 63 and 42.
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Answer:
The greatest number of 3-digit which is exactly divisible by 27, 63, and 42 is 378.
Explanation:
This is the lowest common multiple.
⇒ Multiples of 27:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432
⇒ Multiples of 42:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462
⇒ Multiples of 63:
63, 126, 189, 252, 315, 378, 441, 504
Therefore,
LCM (27, 42, 63) = 378
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