Given numbers are 864,571,598,365,714

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

The LCM of 864,571,598,365,714 is 6407090595360.

Find LCM of 864,571,598,365,714 with Prime Factorization

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

2 x 3 x 144 x 571 x 299 x 365 x 119 = 6407090595360

Therefore, the lowest common multiple of 864,571,598,365,714 is 6407090595360.

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.

864 x 571 x 598 x 365 x 714 = 76885087144320

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

571 : 1, 571

598 : 1, 2, 13, 23, 26, 46, 299, 598

365 : 1, 5, 73, 365

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,571,598,365,714, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

571:571

598:2x 13x 23

365:5x 73

714:2x 3x 7x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 76885087144320/(1x12)

LCM = 76885087144320/12

LCM = 6407090595360

Thus, we can understand that the LCM of 864,571,598,365,714 is 6407090595360.

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

• LCM of 308, 827, 601, 924, 489
• LCM of 727, 263, 420, 411, 686
• LCM of 568, 684, 342, 961, 252
• LCM of 123, 175, 318, 430, 516
• LCM of 132, 785, 560, 114, 150

1. What is the LCM of 864, 571, 598, 365, 714?

Answer: LCM of 864, 571, 598, 365, 714 is 6407090595360.

2. How to calculate the LCM of 864, 571, 598, 365, 714?

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 864, 571, 598, 365, 714.

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}.