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.
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.
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