Given numbers are 936,438,560,258,413

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

The LCM of 936,438,560,258,413 is 12134369520.

Find LCM of 936,438,560,258,413 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 39 x 73 x 10 x 43 x 59 = 12134369520

Therefore, the lowest common multiple of 936,438,560,258,413 is 12134369520.

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.

936 x 438 x 560 x 258 x 413 = 24462888952320

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

438 : 1, 2, 3, 6, 73, 146, 219, 438

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

258 : 1, 2, 3, 6, 43, 86, 129, 258

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,438,560,258,413, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

438:2x 3x 73

560:2x 2x 2x 2x 5x 7

258:2x 3x 43

413:7x 59

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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 24462888952320/(1x2016)

LCM = 24462888952320/2016

LCM = 12134369520

Thus, we can understand that the LCM of 936,438,560,258,413 is 12134369520.

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

• LCM of 772, 877, 449, 201, 390
• LCM of 294, 722, 298, 675, 199
• LCM of 774, 290, 247, 367, 493
• LCM of 385, 960, 752, 975, 208
• LCM of 670, 486, 401, 805, 645

1. What is the LCM of 936, 438, 560, 258, 413?

Answer: LCM of 936, 438, 560, 258, 413 is 12134369520.

2. How to calculate the LCM of 936, 438, 560, 258, 413?

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 936, 438, 560, 258, 413.

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}.