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#3**+10 **

LCM means Lowest Common **Multiple**

To find the LCM first find the prime factors of each number, then take the prime factors with the largest powers that occur and multiply them all together. So:

Prime factors of 4: 2^{2}

Prime factors of 12: 2^{2}*3

The highest power term with 2 is 2^{2} and the highest power term with 3 is just 3, so we multiply 2^{2}*3 to get 12.

This means the LCM of 4 and 12 is 12 itself.

Let me do a different example: suppose we want the LCM of 9 and 12:

Prime factors of 9: 3^{2}

Prime factors of 12: 2^{2}*3

Now we take 2^{2} and multiply by 3^{2} to get 2^{2}*3^{2} = 36

So 36 is the LCM of 9 and 12

.

Alan Jun 7, 2015

#1**+5 **

LCM= Lowest common multiple

And you're finding the factors of 12 and 4 to do this.

You can present this as the tree form.

Using that information you can answer the question.

4 - lowest factor (not including 1) is 2

12 -lowest factor (not including 1) is 2

Thats the LCM of those two.

MathsGod1 Jun 6, 2015

#2**+5 **

Note that Prime factors is only prime numbers.

E.g. 15 prime numbers are 15, 1, 3, 5

Prime factors of it . 5 is a prime number . 3 is a prime number . 1 is technically not a prime number and 15 isn't.

MathsGod1 Jun 6, 2015

#3**+10 **

Best Answer

LCM means Lowest Common **Multiple**

To find the LCM first find the prime factors of each number, then take the prime factors with the largest powers that occur and multiply them all together. So:

Prime factors of 4: 2^{2}

Prime factors of 12: 2^{2}*3

The highest power term with 2 is 2^{2} and the highest power term with 3 is just 3, so we multiply 2^{2}*3 to get 12.

This means the LCM of 4 and 12 is 12 itself.

Let me do a different example: suppose we want the LCM of 9 and 12:

Prime factors of 9: 3^{2}

Prime factors of 12: 2^{2}*3

Now we take 2^{2} and multiply by 3^{2} to get 2^{2}*3^{2} = 36

So 36 is the LCM of 9 and 12

.

Alan Jun 7, 2015