Given numbers are 319,236,585,413

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

The LCM of 319,236,585,413 is 308287980.

Find LCM of 319,236,585,413 with Prime Factorization

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

59 x 319 x 4 x 585 x 7 = 308287980

Therefore, the lowest common multiple of 319,236,585,413 is 308287980.

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.

319 x 236 x 585 x 413 = 18188990820

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.

319 : 1, 11, 29, 319

236 : 1, 2, 4, 59, 118, 236

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,236,585,413, is 1.

Now, the common factors can be found like this.

319:11x 29

236:2x 2x 59

585:3x 3x 5x 13

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.

59 = 59

Therefore, the value for common factors is 59.

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 = 18188990820/(1x59)

LCM = 18188990820/59

LCM = 308287980

Thus, we can understand that the LCM of 319,236,585,413 is 308287980.

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

• LCM of 278, 129, 933, 949
• LCM of 947, 362, 355, 499
• LCM of 761, 407, 287, 800
• LCM of 955, 312, 271, 240
• LCM of 641, 650, 853, 584

1. What is the LCM of 319, 236, 585, 413?

Answer: LCM of 319, 236, 585, 413 is 308287980.

2. How to calculate the LCM of 319, 236, 585, 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 319, 236, 585, 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}.