Find all possible values of m and the corresponding a, b, and c’s for each one. show your work. m • a = 196 m • b = 441 m • c = 210

(m, a, b, c) ∈ {(1, 196, 441, 210), (7, 28, 63, 30)}

m is a common factor of 196, 210, 441

The prime factors of those numbers are

... 196 = 2²×7²

... 210 = 2×3×5×7

... 441 = 3²×7²

7 is the only prime factor common to all the numbers. Hence the possible values of m are 1 and 7.

For m = 1, (a, b, c) = (196, 441, 210).

For m = 7, (a, b, c) = (196, 441, 210)/7 = (28, 63, 30).

answer: 20

step-by-step explanation:

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