Given numbers are 383,363,164,319,409

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

The LCM of 383,363,164,319,409 is 270439766916.

Find LCM of 383,363,164,319,409 with Prime Factorization

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

11 x 383 x 33 x 164 x 29 x 409 = 270439766916

Therefore, the lowest common multiple of 383,363,164,319,409 is 270439766916.

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.

383 x 363 x 164 x 319 x 409 = 2974837436076

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.

383 : 1, 383

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

164 : 1, 2, 4, 41, 82, 164

319 : 1, 11, 29, 319

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,363,164,319,409, is 1.

Now, the common factors can be found like this.

383:383

363:3x 11x 11

164:2x 2x 41

319:11x 29

409:409

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

11 = 11

Therefore, the value for common factors is 11.

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 = 2974837436076/(1x11)

LCM = 2974837436076/11

LCM = 270439766916

Thus, we can understand that the LCM of 383,363,164,319,409 is 270439766916.

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

• LCM of 500, 335, 674, 474, 763
• LCM of 263, 140, 697, 156, 747
• LCM of 604, 646, 575, 399, 662
• LCM of 446, 670, 108, 153, 967
• LCM of 320, 706, 555, 500, 930

1. What is the LCM of 383, 363, 164, 319, 409?

Answer: LCM of 383, 363, 164, 319, 409 is 270439766916.

2. How to calculate the LCM of 383, 363, 164, 319, 409?

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 383, 363, 164, 319, 409.

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}.