Question

what is the Lcm of 10,20,30,310​

Answer 1

Answer:

1860 is the LCM OF THE ABOVE

Answer 2

Answer:

1860

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 10 is:

2 x 5  =>  21 x 51

Prime Factorization of 20 is:

2 x 2 x 5  =>  22 x 51

Prime Factorization of 30 is:

2 x 3 x 5  =>  21 x 31 x 51

Prime Factorization of 310 is:

2 x 5 x 31  =>  21 x 51 x 311

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 list is

2, 2, 3, 5, 31

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 x 31 = 1860

In exponential form:

LCM = 22 x 31 x 51 x 311 = 1860

LCM = 1860

Therefore,

LCM(10, 20, 30, 310) = 1860