Given numbers are 858,600,461,386,879

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

The LCM of 858,600,461,386,879 is 2236727836200.

Find LCM of 858,600,461,386,879 with Prime Factorization

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

2 x 3 x 143 x 100 x 461 x 193 x 293 = 2236727836200

Therefore, the lowest common multiple of 858,600,461,386,879 is 2236727836200.

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 600 x 461 x 386 x 879 = 80522202103200

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

461 : 1, 461

386 : 1, 2, 193, 386

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,600,461,386,879, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

600:2x 2x 2x 3x 5x 5

461:461

386:2x 193

879:3x 293

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 80522202103200/(1x36)

LCM = 80522202103200/36

LCM = 2236727836200

Thus, we can understand that the LCM of 858,600,461,386,879 is 2236727836200.

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

• LCM of 672, 971, 719, 808, 363
• LCM of 859, 273, 888, 723, 389
• LCM of 680, 734, 540, 195, 130
• LCM of 560, 686, 904, 585, 514
• LCM of 878, 553, 264, 562, 393

1. What is the LCM of 858, 600, 461, 386, 879?

Answer: LCM of 858, 600, 461, 386, 879 is 2236727836200.

2. How to calculate the LCM of 858, 600, 461, 386, 879?

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, 600, 461, 386, 879.

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}.