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What is the smallest number that is evenly divisible by all of the numbers from 1 to 14?
Wiki User
∙ 10y ago
You require to find the Lowest (or Least) Common Multiple of these numbers.
The LCM is the product of the highest power of each prime factor of all the numbers in the range 1 to 14.
The prime factors are as follows (1 can be ignored) :-
2 = 2 : 3 = 3 : 4 = 2² : 5 = 5 : 6 = 2 x 3 : 7 = 7 : 8 = 2³ : 9 = 3² : 10 = 2 x 5 : 11 = 11 : 12 = 2² x 3 : 13 = 13 : 14 = 2 x 7
Then the LCM is, 2³ x 3² x 5 x 7 x 11 x 13 = 360360.
Wiki User
∙ 10y ago
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