Given numbers are 642,365,408,442

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

The LCM of 642,365,408,442 is 207147720.

Find LCM of 642,365,408,442 with Prime Factorization

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

2 x 3 x 17 x 107 x 365 x 4 x 13 = 207147720

Therefore, the lowest common multiple of 642,365,408,442 is 207147720.

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.

642 x 365 x 408 x 442 = 42258134880

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

365 : 1, 5, 73, 365

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,365,408,442, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

365:5x 73

408:2x 2x 2x 3x 17

442:2x 13x 17

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

2x 2x 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 42258134880/(1x204)

LCM = 42258134880/204

LCM = 207147720

Thus, we can understand that the LCM of 642,365,408,442 is 207147720.

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

• LCM of 828, 699, 937, 754
• LCM of 790, 147, 760, 481
• LCM of 130, 744, 104, 644
• LCM of 863, 140, 228, 123
• LCM of 432, 909, 865, 687

1. What is the LCM of 642, 365, 408, 442?

Answer: LCM of 642, 365, 408, 442 is 207147720.

2. How to calculate the LCM of 642, 365, 408, 442?

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 642, 365, 408, 442.

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}.