25 August, 18:43
Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
25 August, 20:32
Because all numbers that are divisible by 10 is divisible by 5, all numbers that are divisible by 8 is divisible by 2 and 4, all numbers divisible by 6 is divisible by 2 and 3, we only need to find the smallest common multiple of 6,7,8,9,10 and 11
find the prime factors of each:
factors that are shared can be used only once, so we have:
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» Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.