Given numbers are 805,488,319,880,828

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

The LCM of 805,488,319,880,828 is 2255687280.

Find LCM of 805,488,319,880,828 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 23 x 7 x 61 x 29 x 2 x 9 = 2255687280

Therefore, the lowest common multiple of 805,488,319,880,828 is 2255687280.

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.

805 x 488 x 319 x 880 x 828 = 91310221094400

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

488 : 1, 2, 4, 8, 61, 122, 244, 488

319 : 1, 11, 29, 319

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,488,319,880,828, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

488:2x 2x 2x 61

319:11x 29

880:2x 2x 2x 2x 5x 11

828:2x 2x 3x 3x 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 5x 11x 23 = 40480

Therefore, the value for common factors is 40480.

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 = 91310221094400/(1x40480)

LCM = 91310221094400/40480

LCM = 2255687280

Thus, we can understand that the LCM of 805,488,319,880,828 is 2255687280.

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

• LCM of 644, 790, 149, 876, 875
• LCM of 201, 124, 104, 641, 610
• LCM of 731, 786, 459, 548, 660
• LCM of 677, 240, 912, 666, 632
• LCM of 296, 104, 446, 364, 180

1. What is the LCM of 805, 488, 319, 880, 828?

Answer: LCM of 805, 488, 319, 880, 828 is 2255687280.

2. How to calculate the LCM of 805, 488, 319, 880, 828?

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 805, 488, 319, 880, 828.

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}.