How do you find the LCM of 4,30?

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Dec 3, 2016

60

Explanation:

List down the prime factors of the numbers. Align any common prime factors

4   : 2 * 2
30 : 2 * 5 * 3 

Align the factors common to the two

4   : 2 * 2
30 : 2        * 5 * 3 

Bring down all the factors, but count factors common to both numbers once only

4   : 2 * 2
30 : 2        * 5 * 3 
--------------------------
     : 2 * 2 * 5 * 3

Get the resulting product

4   : 2 * 2
30 : 2        * 5 * 3 
--------------------------
     : 2 * 2 * 5 * 3 = 60