Given numbers are 393,315,129,429

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

The LCM of 393,315,129,429 is 253738485.

Find LCM of 393,315,129,429 with Prime Factorization

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

3 x 131 x 105 x 43 x 143 = 253738485

Therefore, the lowest common multiple of 393,315,129,429 is 253738485.

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 315 x 129 x 429 = 6850939095

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

129 : 1, 3, 43, 129

429 : 1, 3, 11, 13, 33, 39, 143, 429

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,315,129,429, is 3.

Now, the common factors can be found like this.

393:3x 131

315:3x 3x 5x 7

129:3x 43

429:3x 11x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 6850939095/(3x9)

LCM = 6850939095/27

LCM = 253738485

Thus, we can understand that the LCM of 393,315,129,429 is 253738485.

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

• LCM of 885, 655, 990, 317
• LCM of 806, 458, 463, 636
• LCM of 968, 360, 258, 913
• LCM of 588, 997, 415, 951
• LCM of 806, 479, 442, 233

1. What is the LCM of 393, 315, 129, 429?

Answer: LCM of 393, 315, 129, 429 is 253738485.

2. How to calculate the LCM of 393, 315, 129, 429?

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, 315, 129, 429.

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}.