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Marrrta [24]
2 years ago
10

What is the least common multiple of 36, 35, and 11?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
6 0

Answer:

13,860

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 11 shows:

11 is prime.

Prime Factorization of 35 is:

5 x 7

Prime Factorization of 36 is:

2 x 2 x 3 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 5, 7, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 5 x 7 x 11 = 13860

LCM(11, 35, 36) = 13,860

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The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
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The complete question is

"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.

Gum Packages of gum Pieces of gum

1

15

2

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3

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4

?

How many pieces of gum are in 4 packages of gum?"

Using a proportional function, there are 60 pieces of gum in 4 packages.

<h3>What is a proportional relationship?</h3>

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

The constant is given by:

k = 15/1

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In 4 packages:

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Using a proportional function, there are 60 pieces of gum in 4 packages.

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