Given numbers are 361,589,338,352,728

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 361,589,338,352,728 is 4660111456.

Find LCM of 361,589,338,352,728 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 13 x 19 x 19 x 31 x 13 x 44 x 7 = 4660111456

Therefore, the lowest common multiple of 361,589,338,352,728 is 4660111456.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

361 x 589 x 338 x 352 x 728 = 18416760474112

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

361 : 1, 19, 361

589 : 1, 19, 31, 589

338 : 1, 2, 13, 26, 169, 338

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,589,338,352,728, is 1.

Now, the common factors can be found like this.

361:19x 19

589:19x 31

338:2x 13x 13

352:2x 2x 2x 2x 2x 11

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 13x 19 = 3952

Therefore, the value for common factors is 3952.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18416760474112/(1x3952)

LCM = 18416760474112/3952

LCM = 4660111456

Thus, we can understand that the LCM of 361,589,338,352,728 is 4660111456.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 219, 679, 670, 849, 522
• LCM of 776, 860, 375, 205, 742
• LCM of 713, 231, 870, 497, 160
• LCM of 723, 501, 865, 440, 323
• LCM of 157, 934, 557, 206, 406

1. What is the LCM of 361, 589, 338, 352, 728?

Answer: LCM of 361, 589, 338, 352, 728 is 4660111456.

2. How to calculate the LCM of 361, 589, 338, 352, 728?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 361, 589, 338, 352, 728.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.