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Find the largest 6-digit number which is divisible by 3, 4 and 5.

Question

Find the largest 6-digit number which is divisible by 3, 4 and 5.

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Solution

Step 1: The largest 6-digit number is 999999.

Step 2: We need to find the largest number which is less than or equal to 999999 and is divisible by 3, 4 and 5.

Step 3: The least common multiple (LCM) of 3, 4 and 5 is 60.

Step 4: Divide 999999 by 60, we get 16666 remainder 39.

Step 5: Subtract the remainder from 999999, we get 999960.

So, the largest 6-digit number which is divisible by 3, 4 and 5 is 999960.

This problem has been solved

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