Given numbers are 393,284,398,489

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

The LCM of 393,284,398,489 is 3620358444.

Find LCM of 393,284,398,489 with Prime Factorization

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

2 x 3 x 131 x 142 x 199 x 163 = 3620358444

Therefore, the lowest common multiple of 393,284,398,489 is 3620358444.

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.

393 x 284 x 398 x 489 = 21722150664

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.

393 : 1, 3, 131, 393

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

398 : 1, 2, 199, 398

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,284,398,489, is 1.

Now, the common factors can be found like this.

393:3x 131

284:2x 2x 71

398:2x 199

489:3x 163

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 = 21722150664/(1x6)

LCM = 21722150664/6

LCM = 3620358444

Thus, we can understand that the LCM of 393,284,398,489 is 3620358444.

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

• LCM of 841, 554, 131, 444
• LCM of 602, 789, 832, 407
• LCM of 443, 811, 294, 609
• LCM of 742, 790, 780, 967
• LCM of 920, 261, 538, 595

1. What is the LCM of 393, 284, 398, 489?

Answer: LCM of 393, 284, 398, 489 is 3620358444.

2. How to calculate the LCM of 393, 284, 398, 489?

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 393, 284, 398, 489.

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}.