Given numbers are 107,408,432,640,386

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

The LCM of 107,408,432,640,386 is 6066437760.

Find LCM of 107,408,432,640,386 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 107 x 17 x 9 x 40 x 193 = 6066437760

Therefore, the lowest common multiple of 107,408,432,640,386 is 6066437760.

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.

107 x 408 x 432 x 640 x 386 = 4659024199680

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.

107 : 1, 107

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,408,432,640,386, is 1.

Now, the common factors can be found like this.

107:107

408:2x 2x 2x 3x 17

432:2x 2x 2x 2x 3x 3x 3

640:2x 2x 2x 2x 2x 2x 2x 5

386:2x 193

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 2x 2x 2x 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 4659024199680/(1x768)

LCM = 4659024199680/768

LCM = 6066437760

Thus, we can understand that the LCM of 107,408,432,640,386 is 6066437760.

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

• LCM of 634, 150, 789, 623, 276
• LCM of 764, 127, 247, 505, 928
• LCM of 796, 660, 580, 600, 452
• LCM of 367, 496, 352, 535, 706
• LCM of 259, 665, 583, 695, 516

1. What is the LCM of 107, 408, 432, 640, 386?

Answer: LCM of 107, 408, 432, 640, 386 is 6066437760.

2. How to calculate the LCM of 107, 408, 432, 640, 386?

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 107, 408, 432, 640, 386.

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}.