This involves a bit of logic in thinking about what LCM actually means.
LCM is the least common multiple. A
common multiple is a multiple shared by two or more numbers. And by
multiple, we mean some number multiplied by successive integers; this set contains multiples of 5 {5, 10, 15, 20, 25...}. You can see that the least (or lowest) common multiple is the lowest multiple shared by two numbers. Like for 6 and 9, you have {6, 12,
18, 24...} and {9,
18...}, so LCM(6,9) = 18.
Now, if an LCM must be shared by both numbers, and to get a multiple of the largest number, you have to multiply by an integer greater than or equal to 1, then the LCM of two numbers can never be less than the larger of the twi numbers. Generally, if x and y are positive real numbers, and x is greater than y,

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Answer:
Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Here, XYUV=123=4 . So, the scale factor is 4 .Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .
<h2><u>Answer:-</u></h2>
Amount of apple juice Will added 
<h3>• <u>Given</u><u>:</u><u>-</u></h3>
- Will puts 1/4 cup of grape juice in a cup.
- He added apple juice and then he had 1⅔ cup of juice in the cup.
<h3>• <u>T</u><u>o</u><u> </u><u>Find</u><u>:</u><u>-</u></h3>
- How much apple juice Will added to the cup?
<h3>• <u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3>
➪ Amount of grape juice Will added = 1/4
➪ Amount of juice in total after adding the apple juice = 1⅔
Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.
Hence,
➪ 
➪ 
• <u>Takin</u><u>g</u><u> </u><u>an</u><u> </u><u>L.CM</u><u>:</u><u>-</u>
➪ 
➪ 
➪ 
Therefore, the amount of apple juice added is 
Answer:
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Step-by-step explanation:
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Answer:
4 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = x / 8
8 sin 60 = x
8 ( sqrt(3)/2) = x
4 sqrt(3) =x