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3 years ago

What is the LCM of 6,4,10

Mathematics

2 answers:

Inessa [10]3 years ago

6 0

6 has a factor of 2 and 3

4 has a factor of 2

10 has a factor of 2 and 5

The LCM = 60

n200080 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.

Here's a trick, use prime factorization
Prime factorization means, write a number as the result of the multiplication of prime numbers
prime numbers are numbers with only two factors, 1 and itself
So the prime factorization of 6, 4 and 10 is
6 = 2 x 3
4 = 2 x 2
10 = 2 x 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
So 2 occurs most often as a factor of 4, so we use two 2s
3 occurs most often as a factor of 6, so we use one 3
5 occurs most often as a factor of 10, so we use one 5
Then multiply this new list of numbers
2 x 2 x 3 x 5 = 60
that's how you quickly get the LCM

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kykrilka [37]

Answer:

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Example using an unknown:

2X + 6 = 2 * (X + 3)

In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.

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Step-by-step explanation:

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3 years ago

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djyliett [7]

The formula for depreciation is:

$y=x(1-r)^t$

Where x = Initial value,

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r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

$944 = 1040(1-r)^1$

944 = 1040 (1 -r)

$\frac{944}{1040} =1-r$ Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

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Now plug in 0.09 in the above equation to get the depreciation equation. So,

$y = x (1- 0.09)^t$

So, $y = 0.91x^t$

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, $y= 1040 *(0.91)^{0.41667}$

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

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3 years ago

B is the midpoint of AC, AB=5x and BC=2x+9 find AB,BC, and AC

german

Answer:

Step-by-step explanation:

5x = 2x + 9

3x = 9

x = 3

AB= 5(3)= 15

BC= 2(5) + 9= 10 + 9 = 19

AC= 15 + 19 = 34

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Answer:

Step-by-step explanation:

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3 years ago

What is the LCM of 6,4,10​

What is the LCM of 6,4,10