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Tom [10]
3 years ago
15

Find the least common multiple of 3 and 7

Mathematics
2 answers:
Sav [38]3 years ago
8 0

The LCM of two prime numbers is generally just their product, since they share no common factors.


3 and 7 are both prime numbers, so their LCM (least common multiple) is simply the numbers multiplied together. In this case, the LCM is thus 21.

Arada [10]3 years ago
3 0

Answer: 21

Step-by-step explanation: To find the least common multiple or <em>lcm</em> of 3 and 7, begin by finding the first few multiples of each number and comparing the lists.

<u><em>Multiples of 3</em></u>

1 × 3 = 3

2 × 3 = 6

3 × 3 = 9

4 × 3 = 12

5 × 3 = 15

6 × 3 = 18

7 × 3 = 21

<em><u>Multiples of 7</u></em>

1 × 7 = 7

2 × 7 = 14

3 × 7 = 21

Since 21 appears in both lists, we can stop here.

Therefore, the least common multiple of 3 and 7 is 21.

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A, B, and C are midpoints of ∆XYZ. What is the length of cy
iogann1982 [59]

Answer:

XY=36\ units

Step-by-step explanation:

<u><em>The correct question is</em></u>

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The<u><em> Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

AB=\frac{1}{2}YZ

we have

AB=24\ units

substitute

24=\frac{1}{2}YZ

solve for YZ

YZ=48\ units

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

XZ^2=XY^2+YZ^2

substitute the given values

60^2=XY^2+48^2

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3,600=XY^2+2,304

XY^2=3,600-2,304

XY^2=1,296

XY=36\ units

Applying the Midpoint Theorem

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