lcm of 18 nd 495

asked by guest
on Nov 23, 2024 at 4:19 am



You asked:

Find the polynomial least common multiple of the following expressions: \(18\), \(d n\), \(495\)

MathBot Answer:

The least common multiple is \(990 d n\).

Begin by factoring all expressions completely. $$\begin{aligned}18 &= 2\cdot 3^{2}\\d n &= d \cdot n\\495 &= 3^{2}\cdot 5\cdot 11\\\end{aligned}$$

Find the least common multiple by multiplying the factors together, including only the greatest power of each common factor. \[\operatorname{lcm}(18, d n, 495) = 2\cdot 3^{2}\cdot 5\cdot 11\cdot (d)^{1}\cdot (n)^{1} = 990 d n\]

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