Question

Find the LCM of 6! and (4!)^2

Answer 1

Answer:

2880

Step-by-step explanation:

!=factorial. Factorial means you are multiplying by a number by the numbers less than it.

so that means 6*5*4*3*2*1=720.

And the factorial of 4 is 4*3*2=24.

24^2=576

So now we have to find the LCM of 576 and 720.

I will use the prime factorization method so the prime factorization of 576 is:

2*2*2*2*2*2*3*3

Prime factorization of 720:

2*2*2*2*3*3*5

So we first we gotta find the GCF, which is 2*2*2*2*3*3 because that is something that they both share in their prime factorizations. So the answer to the GCF is 144.

So now, the numbers that we did not use which is a 2 and another 2 and a 5. So 2*2*5=20

Finally, we have to multiply 20 by the GCF, which is 144, and the answer is 2880.

Answer 2

Answer:

it's 12

4, 8, 12

6, 12