H.C.F of 136, 144 and a third number is 8 and their L.C.M is 2^4 * 3^2 * 17 * 7. The third number is:	Choose the correct choice from the following:	A) 154	B) 248	C) 360	D) 424	E) 168
136 = 2^3 * 17;   144 = 2^4 * 3^2   H.C.F = 2^3 = 8   Since H.C.F is the product of lowest powers of common factors, so the third number must have (2^3 ) as its factor.   Since L.C.M is the product of highest powers of common prime factors, so the third number must have 3 and 7 as its factors.   Third number = 2^3 * 3 * 7   = 168   ANSW168R:168
<result>E</result>
H.C.F of 136, 144 and a third number is 8 and their L.C.M is 2^4 * 3^2 * 17 * 7. The third number is: