Whenever 12151

Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken)

Correct answer:

x1 =  888888888

Step-by-step explanation:

x1=888888888 a8=x1/72=888888888/72=12345679 b8=x1/37=888888888/37=24024024 72=2332 37 ...  prime number LCM(72,37)=233237=2664  c=LCM(72,37)=2664 d=x1/c=888888888/2664=333667



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