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2 years ago

What is the least common multiple of 14, 20, and 15?

Mathematics

2 answers:

Komok [63]2 years ago

7 0

14, 15, 20 | 2

7, 15, 10 | 2

7, 15, 5 | 3

7, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1

Answer: $\bf2^{2}$ × 3 × 5 × 7 = 420

Hope it helped,

Happy homework/ study/ exam!

IrinaVladis [17]2 years ago

4 0

14 = 2 x 7

20 = 2² x 5

15 = 3 x 5

LCM = 2² x 3 x 5 x 7 = 420

Answer: LCM = 420

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shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

$l=m\sqrt{n}$

Question 39:

When ' n ' increase, the $\sqrt{n}$ will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As $n$ increases and $m$ stays constant , $l$ increases

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Question 40:

Solving the equation for m, we get

$l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}$

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As $l$ increase and $n$ stays constant, $m$ increases

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When $s$ is triped, the equation will be...

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Solution for question 41:

If $s$ is tripled and $t$ stays constant, $r$ is multiplied by 9

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Question 42:

When t is doubled, the equation will be...

$r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\ \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}$

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Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

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$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

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