Question
Find the smallest 4-digit number that is exactly
divisible by 14, 20 and 27.Solution
ATQ, 14 = 27 20 = 225 27 = 33 LCM = 22 * 33 * 5 * 7 = 4 * 27 * 5 * 7 427 = 108 57 = 35 LCM = 108*35 = 3780 3780 is already a 4-digit number and is divisible by all three. So smallest 4-digit number = 3780
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