Given numbers are 580,319,102,413

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

The LCM of 580,319,102,413 is 134381940.

Find LCM of 580,319,102,413 with Prime Factorization

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

2 x 29 x 10 x 11 x 51 x 413 = 134381940

Therefore, the lowest common multiple of 580,319,102,413 is 134381940.

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.

580 x 319 x 102 x 413 = 7794152520

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

319 : 1, 11, 29, 319

102 : 1, 2, 3, 6, 17, 34, 51, 102

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,319,102,413, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

319:11x 29

102:2x 3x 17

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 29 = 58

Therefore, the value for common factors is 58.

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 = 7794152520/(1x58)

LCM = 7794152520/58

LCM = 134381940

Thus, we can understand that the LCM of 580,319,102,413 is 134381940.

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

• LCM of 947, 607, 434, 530
• LCM of 781, 199, 578, 283
• LCM of 623, 992, 441, 868
• LCM of 946, 439, 472, 586
• LCM of 165, 819, 258, 505

1. What is the LCM of 580, 319, 102, 413?

Answer: LCM of 580, 319, 102, 413 is 134381940.

2. How to calculate the LCM of 580, 319, 102, 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 580, 319, 102, 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}.