let's calculator what is the biggest whole number of 4 digits which will be divisible by 12, 18 and 30.
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Answer:
The prime factors for each are
2×2×3=12
2×3×3=18
2×3×5=30
So the number in question must have. A factor of 180 ( 2×2×3×3×5 ), but 1802 exceeds four digits. Since 180=(65–√)2 , the best route is 302×n2.
The highest perfect square that 302 can be multiplied to, and still produce a four-digit number is 32.
302×32=8100
Verify:
810012=675
810018=450
810030=270
302×42=14400
So, the answer is 8100.
Step-by-step explanation:
hope it helps you
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