Given numbers are 872,600,814,920

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

The LCM of 872,600,814,920 is 612209400.

Find LCM of 872,600,814,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 109 x 15 x 407 x 23 = 612209400

Therefore, the lowest common multiple of 872,600,814,920 is 612209400.

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.

872 x 600 x 814 x 920 = 391814016000

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,600,814,920, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

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

814:2x 11x 37

920:2x 2x 2x 5x 23

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 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 391814016000/(2x320)

LCM = 391814016000/640

LCM = 612209400

Thus, we can understand that the LCM of 872,600,814,920 is 612209400.

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

• LCM of 508, 713, 620, 164
• LCM of 926, 362, 194, 459
• LCM of 848, 158, 107, 298
• LCM of 798, 330, 763, 686
• LCM of 729, 559, 502, 105

1. What is the LCM of 872, 600, 814, 920?

Answer: LCM of 872, 600, 814, 920 is 612209400.

2. How to calculate the LCM of 872, 600, 814, 920?

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 872, 600, 814, 920.

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}.