Given numbers are 642,468,972,891,388

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

The LCM of 642,468,972,891,388 is 1442639484.

Find LCM of 642,468,972,891,388 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 3 x 107 x 13 x 3 x 11 x 97 = 1442639484

Therefore, the lowest common multiple of 642,468,972,891,388 is 1442639484.

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 468 x 972 x 891 x 388 = 100961681648256

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,468,972,891,388, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

468:2x 2x 3x 3x 13

972:2x 2x 3x 3x 3x 3x 3

891:3x 3x 3x 3x 11

388:2x 2x 97

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 3x 3x 3x 3x 3x 3x 3 = 69984

Therefore, the value for common factors is 69984.

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 = 100961681648256/(1x69984)

LCM = 100961681648256/69984

LCM = 1442639484

Thus, we can understand that the LCM of 642,468,972,891,388 is 1442639484.

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

• LCM of 396, 337, 991, 861, 605
• LCM of 741, 519, 780, 644, 304
• LCM of 316, 540, 274, 191, 139
• LCM of 535, 925, 457, 125, 221
• LCM of 287, 453, 184, 932, 566

1. What is the LCM of 642, 468, 972, 891, 388?

Answer: LCM of 642, 468, 972, 891, 388 is 1442639484.

2. How to calculate the LCM of 642, 468, 972, 891, 388?

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, 468, 972, 891, 388.

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}.