Question

H.C.F. ( =2^{2} times 3^{2} )
L.C.M. ( =2^{4} times 3^{5} times 5^{2} times 7^{2} )
Ist number ( =2^{3} times 3^{4} times 5 )
2nd number ( =2^{4} times 3^{2} times 5^{2} )
observing the above situation, we conclude that the third
number must be
( 2^{2} times 3^{2} times 3^{3} times 7^{2}=2^{2} times 3^{5} times 7^{2} )

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

Solution