Find the L.C.M of $$ {6x}{y^{2}z},{8x^{2}{y^{3}z^{2},{12{x^{3}{y^{3}z^{3}}}}}}$$.

Two pipes of length 36 metre and 40 metre are to be cut into equal pieces without leaving any extra length of pipe. Find the number of such pieces if pipes are to be cut of maximum length.

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is 

The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3. The smaller number is:

Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.

The LCM of three different numbers is 120. Which of the following cannot be their HCF? 

What is the Highest Factor of $$ {2^{3}×{3^{5}}} and \ {2^{3}×{3^{5}}}$$ ?

Find the total number of Prime Factors of 720 ?