Given numbers are 398,409,363,522

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

The LCM of 398,409,363,522 is 5140818342.

Find LCM of 398,409,363,522 with Prime Factorization

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

2 x 3 x 199 x 409 x 121 x 87 = 5140818342

Therefore, the lowest common multiple of 398,409,363,522 is 5140818342.

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.

398 x 409 x 363 x 522 = 30844910052

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.

398 : 1, 2, 199, 398

409 : 1, 409

363 : 1, 3, 11, 33, 121, 363

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,409,363,522, is 1.

Now, the common factors can be found like this.

398:2x 199

409:409

363:3x 11x 11

522:2x 3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 30844910052/(1x6)

LCM = 30844910052/6

LCM = 5140818342

Thus, we can understand that the LCM of 398,409,363,522 is 5140818342.

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

• LCM of 631, 119, 132, 263
• LCM of 613, 669, 775, 764
• LCM of 654, 961, 122, 163
• LCM of 239, 148, 606, 285
• LCM of 146, 482, 784, 187

1. What is the LCM of 398, 409, 363, 522?

Answer: LCM of 398, 409, 363, 522 is 5140818342.

2. How to calculate the LCM of 398, 409, 363, 522?

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 398, 409, 363, 522.

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}.