County: PROVIDENCE ; 2 Floors; Lot size: 28,314 Sq. Ft. Partial Basement; Heating; View More
The Least Common Multiple (LCM) of some numbers is the smallest number that the numbers are factors of. Like the LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for. Type some numbers into the box to the right, and this page will find the LCM of those numbers. Type the integers here.
Induction (philosophy). First, we know that 0 = Â½(0)(0 + 1) = 0. Now assume Sm = Â½m(m + 1) for some natural number m. Then if Sm + 1 represents Sm + (m + 1), it follows that Sm + (m + 1) = Â½m(m + 1) + (m + 1). Furthermore, since Â½m(m + 1) + (m + 1) = Â½m2 + 1.5m + 1, it follows that Â½ m2 + 1.5m + 1 = (Â½m + Â½)(n + 2).