Given numbers are 322,780,398,406

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

The LCM of 322,780,398,406 is 724722180.

Find LCM of 322,780,398,406 with Prime Factorization

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

2 x 7 x 23 x 390 x 199 x 29 = 724722180

Therefore, the lowest common multiple of 322,780,398,406 is 724722180.

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.

322 x 780 x 398 x 406 = 40584442080

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

398 : 1, 2, 199, 398

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,780,398,406, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

780:2x 2x 3x 5x 13

398:2x 199

406:2x 7x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 40584442080/(2x28)

LCM = 40584442080/56

LCM = 724722180

Thus, we can understand that the LCM of 322,780,398,406 is 724722180.

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

• LCM of 934, 663, 372, 338
• LCM of 838, 958, 489, 728
• LCM of 569, 636, 338, 334
• LCM of 851, 451, 747, 872
• LCM of 811, 581, 253, 994

1. What is the LCM of 322, 780, 398, 406?

Answer: LCM of 322, 780, 398, 406 is 724722180.

2. How to calculate the LCM of 322, 780, 398, 406?

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 322, 780, 398, 406.

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}.