H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is? Pick:
A) 22 * 35 * 72
B) 22 * 35 * 78
C) 22 * 35 * 72
D) 22 * 35 * 71
E) 22 * 35 * 73
3240 = 23 * 34 * 5; 3600 = 24 * 32 * 52   H.C.F = 36 = 22 * 32   Since H.C.F is the product of lowest powers of common factors, so the third number must have (22 * 32 ) as its factor.   Since L.C.M is the product of highest powers of common prime factors, so the third number must have 35 and 72 as its factors.   Third number = 22 * 35 * 72   22 * 35 * 72nswer:22 * 35 * 72
<result>A</result>
H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is?