Question

what is the LCM of 245 x^6y^5,49 x^5y^2

Answer 1

LCM of 245x⁶y⁵ and 49x⁵y².

245=49×5; x⁶=x⁵×x; y⁵=y²×y³.

So all the components of the second expression divide into the corresponding components of the first, making the first expression the LCM:

245x⁶y⁵=5xy³×49x⁵y².

(The HCF is the other expression because 49x⁵y² divides into both expressions.)