A.  2^2 x 3^5 x 7^2

B.  2^2 * 5^3 * 7^2

C.  2^2 * 5^2 * 7^2

D.  2^3 * 3^5 * 7^2

1
Correct Answer :
2^2 x 3^5 x 7^2
Explanation :

3240 = 2^3 x 3^4 x 5; 3600 = 2^4 x 3^2 x 5^2; H.C.F. = 36 = 2^2 x 3^2 Since H.C.F. is the product of lowest powers of common factors, so the third number must have (2^2 x 3^2) as its factors Since L.C.M. is the product of highest powers of common prime factors, so the third number must have 3^5 and 7^2 as its factors. Third number = 2^2 x 3^5 x 7^2


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