Given numbers are 230,679,214,556,642

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

The LCM of 230,679,214,556,642 is 13936298460.

Find LCM of 230,679,214,556,642 with Prime Factorization

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

2 x 107 x 115 x 679 x 1 x 278 x 3 = 13936298460

Therefore, the lowest common multiple of 230,679,214,556,642 is 13936298460.

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.

230 x 679 x 214 x 556 x 642 = 11929471481760

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

679 : 1, 7, 97, 679

214 : 1, 2, 107, 214

556 : 1, 2, 4, 139, 278, 556

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,679,214,556,642, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

679:7x 97

214:2x 107

556:2x 2x 139

642:2x 3x 107

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 107 = 856

Therefore, the value for common factors is 856.

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 = 11929471481760/(1x856)

LCM = 11929471481760/856

LCM = 13936298460

Thus, we can understand that the LCM of 230,679,214,556,642 is 13936298460.

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

• LCM of 363, 392, 739, 247, 603
• LCM of 638, 953, 595, 245, 809
• LCM of 807, 239, 707, 891, 247
• LCM of 728, 503, 561, 960, 543
• LCM of 402, 667, 250, 849, 772

1. What is the LCM of 230, 679, 214, 556, 642?

Answer: LCM of 230, 679, 214, 556, 642 is 13936298460.

2. How to calculate the LCM of 230, 679, 214, 556, 642?

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 230, 679, 214, 556, 642.

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}.