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If 49392=a^4b^2c^3, find the value of a ...

If `49392=a^4b^2c^3,` find the value of `a ,\ b\ a n d\ c` , where `a ,\ b\ a n d\ c` are different positive primes.

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First take `LCM` of `49392`.
Then will get `2 xx 2 xx 2 xx 2 xx 3 xx 3 xx 7 xx 7 xx 7 `
`49392 = 2^4 xx 3^2 xx 7^3`
` a^4 b^2 c^3 = 2^4 xx 3^2 xx 7^3 `
So can identify now that the value of `a= 2, b= 3` and `c= 7`.
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