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2 years ago

Find the least common multiple of 3 and 7

Mathematics

2 answers:

Sav [38]2 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]2 years ago

3 0

Answer: 21

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

Multiples of 3

1 × 3 = 3

2 × 3 = 6

3 × 3 = 9

4 × 3 = 12

5 × 3 = 15

6 × 3 = 18

7 × 3 = 21

Multiples of 7

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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$\bold{cot(t) =\dfrac{12}{5}}$

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First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

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$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

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