Given numbers are 858,864,728,409

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

The LCM of 858,864,728,409 is 353729376.

Find LCM of 858,864,728,409 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 11 x 36 x 7 x 409 = 353729376

Therefore, the lowest common multiple of 858,864,728,409 is 353729376.

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.

858 x 864 x 728 x 409 = 220727130624

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,864,728,409, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

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

728:2x 2x 2x 7x 13

409:409

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 220727130624/(1x624)

LCM = 220727130624/624

LCM = 353729376

Thus, we can understand that the LCM of 858,864,728,409 is 353729376.

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

• LCM of 862, 816, 598, 830
• LCM of 405, 148, 916, 901
• LCM of 559, 928, 639, 273
• LCM of 811, 260, 994, 366
• LCM of 315, 123, 598, 365

1. What is the LCM of 858, 864, 728, 409?

Answer: LCM of 858, 864, 728, 409 is 353729376.

2. How to calculate the LCM of 858, 864, 728, 409?

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 858, 864, 728, 409.

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}.