What is the least common multiple (lcm) of 45, 60, and 75?

Answer & Step-by-step explanation:

Mathematical Problem Example :  100 x 105

By commutative rule, a x b = b x a : 100 x 105 = 105 x 100 = 10500

By distributive rule, a x (b+c) = (a x b)  + (a x c)

Breaking down 105, we get : 100 x 105 = 100 (100 + 5)

= (100 x 100) + (100 x 5) = 10000 + 500 = 10500

As solutions by both rules are same, algebra multiple ways to solve a mathematical problem have been hence proved.