Question

# H.C.F of 3240, 3600 and a third number is 36 and their L.C.M. is 24x35x52x72. Find the third number.

Solution

H.C.F.=22x32
L.C.M. = 24 x 35 x 52 x 72
Ist number = 23 x 34 x 5
2nd number = 24 x 32 x 52
observing the above situation, we conclude that the third
number must be
22 x32 x 33 x 72 = 22x35x72 0