Question

find the LCM by prime factor and common division method of 18 24 and 96 and send photo solutions.​
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Answer 1

ANSWER:

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Answer 2

Answer:

288

Step-by-step explanation:

LCM means the Lowest Common Multiple.

What is lowest common multiple?

It means the lowest number of multiplication between two numbers.

For example :

Multiples of 2 :

2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20

Multiples of 7

7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70

The lowest multiple between this number is bold and underlined.

14 is the lowest common factor of 2 and 7.

This is just one of the method of doing the lowest common factor.

Imagine it is a bigger number, 5 and 120?

There is no way you can slowly view the multiples of 5 and 120, its simply ridiculous.

There's an easy way to find Lowest Common Multiple, and Division Method is one of it.

And it can done using this way :

To get the LCM of 18, 24 and 96, we multiply the different factors gotten from the division method.

2$\sqrt{18, 24, 96}$

2$\sqrt{9, 12, 48}$

2$\sqrt{9, 6, 24}$

2$\sqrt{9, 3, 12}$

2$\sqrt{9, 3, 6}$

3$\sqrt{9, 3, 3}$

3$\sqrt{3, 1, 1}$

1, 1, 1

The common factors of 18, 24 and 96 are 2, 2, 2, 2, 2, 3 and 3

Now, just multiply the factors and there goes your lowest common multiple.

2 × 2 × 2 × 2 × 2 × 3 × 3 = 288

288 is your lowest common multiple

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