Common multiple of three numbers is 3276. One number is in this number 63 times, second 7 times, third 9 times. What are the numbers?

Correct answer:

a =  52
b =  468
c =  364

Step-by-step explanation:

n=3276 3276=2×2×3×3×7×13=22×32×7×13  a=n/63=3276/63=52
c=n/9=3276/9=364   Verifying Solution:   52=2213 468=223213 364=22713 LCM(52,468,364)=2232713=3276  x=LCM(a,b,c)=LCM(52,468,364)=3276

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