Given numbers are 432,642,645,374

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

The LCM of 432,642,645,374 is 1858435920.

Find LCM of 432,642,645,374 with Prime Factorization

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

2 x 3 x 72 x 107 x 215 x 187 = 1858435920

Therefore, the lowest common multiple of 432,642,645,374 is 1858435920.

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.

432 x 642 x 645 x 374 = 66903693120

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.

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

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,642,645,374, is 1.

Now, the common factors can be found like this.

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

642:2x 3x 107

645:3x 5x 43

374:2x 11x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 66903693120/(1x36)

LCM = 66903693120/36

LCM = 1858435920

Thus, we can understand that the LCM of 432,642,645,374 is 1858435920.

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

• LCM of 471, 658, 598, 808
• LCM of 626, 463, 965, 470
• LCM of 385, 683, 195, 295
• LCM of 678, 861, 542, 844
• LCM of 634, 990, 390, 505

1. What is the LCM of 432, 642, 645, 374?

Answer: LCM of 432, 642, 645, 374 is 1858435920.

2. How to calculate the LCM of 432, 642, 645, 374?

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 432, 642, 645, 374.

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}.