Given numbers are 319,728,135,508

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

The LCM of 319,728,135,508 is 3981617640.

Find LCM of 319,728,135,508 with Prime Factorization

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

2 x 2 x 319 x 182 x 135 x 127 = 3981617640

Therefore, the lowest common multiple of 319,728,135,508 is 3981617640.

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.

319 x 728 x 135 x 508 = 15926470560

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.

319 : 1, 11, 29, 319

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

135 : 1, 3, 5, 9, 15, 27, 45, 135

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,728,135,508, is 1.

Now, the common factors can be found like this.

319:11x 29

728:2x 2x 2x 7x 13

135:3x 3x 3x 5

508:2x 2x 127

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15926470560/(1x4)

LCM = 15926470560/4

LCM = 3981617640

Thus, we can understand that the LCM of 319,728,135,508 is 3981617640.

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

• LCM of 812, 331, 556, 855
• LCM of 656, 992, 502, 973
• LCM of 338, 333, 755, 960
• LCM of 168, 159, 161, 340
• LCM of 450, 390, 560, 476

1. What is the LCM of 319, 728, 135, 508?

Answer: LCM of 319, 728, 135, 508 is 3981617640.

2. How to calculate the LCM of 319, 728, 135, 508?

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 319, 728, 135, 508.

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}.