No, 294 is not a proper factor of 147. Proper factors are smaller than the number of which they are a factor. The proper factors of 147 are 3, 7, 21, 49, and perhaps 1, depending on the definition you are using.
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The LCM is 294.
147n = 294Divide each side by 147:n = 294/147 = 2
147 x 2 = 294
All multiples of 147 are divisible by 147: 147, 294, 441, 588, 735, ...
294 divided by 2