Posted by Logan on .
Find the least common multiple of the monomials. 5a squared, and 16a cubed. Also 17b squared and 3b cubed. Could you show me how to do these.
Thank you,
Sandy

algebra 
Steve,
5a^2 = 5*a^2
16a^2 = 2^4 * a^2
take the highest power of each prime (assuming a is not divisible by 2 or 5)
LCM = 2^4*5*a^2 = 80a^2
17b^2 = 17*b^2
3b^3 = 3*b^3
LCM = 3*17*b^3 = 51b^3
The LCM is the smallest number that can be divided by each of the two given numbers.
another example: LCM(20,30,50,80):
20 = 2^2 * 5
30 = 2 * 3 * 5
50 = 2 * 5^2
80 = 2^4 * 5
LCM = 2^4 * 3 * 5^2 = 1200