One way to find the least common multiple of two numbers is to first list the prime factors of each number.
8 = 2 x 2 x 2
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: three occurrences
3: one occurrence
So, our LCM should be
2 x 2 x 2 x 3 = 24.
So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.
Answer:
16
Step-by-step explanation:
8+8
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.
208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.
Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.
If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.
If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.
Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
The <em>least common</em> denominator of the <em>rational</em> expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
<h3>How to find a least common denominator of a rational equation</h3>
<em>Rational</em> numbers are formed by numbers of the form n/m, where n and m are integers known as numerator and denominator, respectively. The least common denominator is the <em>least</em> denominator between a group of <em>rational</em> functions such that they get the same denominator.
In this case we have two denominators: x² - 16, 8 · x + 2 · x². We can determine the least common denominator by factoring each expression and discovering known terms:
x² - 16 = (x + 4) · (x - 4)
8 · x + 2 · x² = 2 · x · (x + 4)
The <em>least common</em> denominator of the <em>rational</em> expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
To learn more on least common denominators: brainly.com/question/8393834
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I would say the answer is true, if it’s not I apologize
