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lcm and power poser (Posted on 2015-12-02) Difficulty: 3 of 5
Determine the total number of values of a positive integer N such that:
lcm (66, 88, N)= 1212

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

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Solution D2 Comment 1 of 1
12^12 = 3^12 * 2^24

6^6 = 2^6 * 3^6

8^8 = 2^24

-------------------------
So, the only N that work are 
3^12 * (2^0 or 2^1 or ... 2^24)

Altogether, 25 different values

The answer is the same without 6^6.



  Posted by Steve Herman on 2015-12-02 21:10:12
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