Given numbers are 398,284,478

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

The LCM of 398,284,478 is 13507324.

Find LCM of 398,284,478 with Prime Factorization

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

2 x 199 x 142 x 239 = 13507324

Therefore, the lowest common multiple of 398,284,478 is 13507324.

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 284 x 478 = 54029296

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

284 : 1, 2, 4, 71, 142, 284

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,284,478, is 2.

Now, the common factors can be found like this.

398:2x 199

284:2x 2x 71

478:2x 239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 54029296/(2x2)

LCM = 54029296/4

LCM = 13507324

Thus, we can understand that the LCM of 398,284,478 is 13507324.

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

• LCM of 541, 909, 747
• LCM of 374, 805, 956
• LCM of 627, 736, 449
• LCM of 559, 631, 450
• LCM of 359, 647, 621

1. What is the LCM of 398, 284, 478?

Answer: LCM of 398, 284, 478 is 13507324.

2. How to calculate the LCM of 398, 284, 478?

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, 284, 478.

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}.