I need help with this number?

Question

What number will 5600,2400 and 820 divide into evenly. I think the number will be 688,800 but is there a smaller number? If someone would help me with this I sure would appreciate it. Thanks for your help.

Answer 1

5600 = 2*2*2 *2 *2*5*5*7
2400 =2*2*2*2*2*3*5*5
820 = 2*2*5*41
You need to use each othe above factors the maximum number
of times it occurs so your answer is:
2^5 * 5^2 * 7 * 41 = 229,600

Answer 2

If you do the facto of each number into its prime factors you´ll get

N=16,800

Answer 3

N = 16800