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Vikki [24]
3 years ago
9

What is the least common multiple of 37 and 12

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
<span>To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: 

<span><span>37:      37</span><span>12:   223 </span><span>LCM:   22337</span></span>The Least Common Multiple (LCM) is:   2 x 2 x 3 x 37 = 444</span><span> </span>
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(6 - 1) + (3m)i = -12 + 27i
Yanka [14]

Answer:

We want to solve the equation:

(6 - 1) + (3m)i = -12 + 27i

Where m is a complex number.

first, we can rewrite this as:

5 + 3*m*i = -12 + 27*i

3*m*i = -12 - 5 + 27*i

3*m*i = -17 + 27*i

And we can write m as:

m = a + b*i

Replacing that in the above equation we get:

3*(a + b*i)*i = -17 + 27*i

3*a*i + 3*b*i^2 = -17 + 27*i

and we know that i^2 = -1

3*a*i - 3*b = -17 + 27*i

The real part in the left (-3*b) must be equal to the real part in the right (-17)

then:

-3*b = -17

b = -17/-3 = 17/3

And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)

then:

3*a = 27

a = 27/3.

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