Find the greatest 3 digit number which is divisible by 12,18 and 24.
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Answer:
The greatest 3 digit number is 999
We need to find the LCM of 12,18 and 24
12 =2×2×3
18=2×3×3
24=2×2×2×3
LCM of 12,18 and 24= 2×2×2×3×3=72
999=72×13+63
Here, remainder is 63.
Therefore, the greatest 3-digit number which is divisible by 12 ,18 and 24 =72×13=936
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