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H.C.F. of 3240, 3600 and a third numb...

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is `2^4xx3^5xx5^2xx7^2` . The third number is `2^2xx3^5xx7^2` (b) `2^2xx5^3xx7^2` (c) `2^5xx5^2xx7^2` (d) `2^3xx3^5xx7^2`

A

`2^(4) xx 5^(3) xx 7^(2)`

B

`2^(2) xx 3^(5) xx 7^(2)`

C

`2^(3) xx 3^(5) xx 7^(2)`

D

`2^(5) xx 5^(2) xx 7^(2)`

Text Solution

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The correct Answer is:
B
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