Given numbers are 807,399,828,718,440

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

The LCM of 807,399,828,718,440 is 1169826328440.

Find LCM of 807,399,828,718,440 with Prime Factorization

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

2 x 2 x 3 x 269 x 133 x 69 x 359 x 110 = 1169826328440

Therefore, the lowest common multiple of 807,399,828,718,440 is 1169826328440.

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.

807 x 399 x 828 x 718 x 440 = 84227495647680

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.

807 : 1, 3, 269, 807

399 : 1, 3, 7, 19, 21, 57, 133, 399

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

718 : 1, 2, 359, 718

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,399,828,718,440, is 1.

Now, the common factors can be found like this.

807:3x 269

399:3x 7x 19

828:2x 2x 3x 3x 23

718:2x 359

440:2x 2x 2x 5x 11

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 84227495647680/(1x72)

LCM = 84227495647680/72

LCM = 1169826328440

Thus, we can understand that the LCM of 807,399,828,718,440 is 1169826328440.

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

• LCM of 859, 167, 639, 559, 125
• LCM of 324, 288, 781, 429, 662
• LCM of 230, 652, 332, 322, 127
• LCM of 699, 965, 638, 623, 263
• LCM of 508, 658, 613, 535, 527

1. What is the LCM of 807, 399, 828, 718, 440?

Answer: LCM of 807, 399, 828, 718, 440 is 1169826328440.

2. How to calculate the LCM of 807, 399, 828, 718, 440?

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 807, 399, 828, 718, 440.

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}.