6. Find the smallest 4-digit number that is divisible
by 20 and 60. Also find a number closest and
less than 3000 that is divisible by them.
3
ho are
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Answer:
LCM of 18, 24 and 32: 18 = 2 x 3 x 3 24 = 2 x 2 x 2 x 3 32 = 2 x 2 x 2 x 2 x 2 LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288
The smallest four digit number that is divisible by 288:
288 x 3 = 864
288 x 4 = 1152
Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers.
Therefore, 1152 is the smallest four digit number divisible by 18, 24 and 32.
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