Given numbers are 442,597,996,243,690

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

The LCM of 442,597,996,243,690 is 408025727460.

Find LCM of 442,597,996,243,690 with Prime Factorization

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

2 x 3 x 221 x 199 x 166 x 81 x 115 = 408025727460

Therefore, the lowest common multiple of 442,597,996,243,690 is 408025727460.

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.

442 x 597 x 996 x 243 x 690 = 44066778565680

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.

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

597 : 1, 3, 199, 597

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

243 : 1, 3, 9, 27, 81, 243

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,597,996,243,690, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

597:3x 199

996:2x 2x 3x 83

243:3x 3x 3x 3x 3

690:2x 3x 5x 23

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 44066778565680/(1x108)

LCM = 44066778565680/108

LCM = 408025727460

Thus, we can understand that the LCM of 442,597,996,243,690 is 408025727460.

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

• LCM of 608, 670, 925, 609, 138
• LCM of 705, 971, 443, 432, 653
• LCM of 462, 179, 872, 200, 473
• LCM of 299, 550, 311, 560, 704
• LCM of 603, 636, 929, 588, 825

1. What is the LCM of 442, 597, 996, 243, 690?

Answer: LCM of 442, 597, 996, 243, 690 is 408025727460.

2. How to calculate the LCM of 442, 597, 996, 243, 690?

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 442, 597, 996, 243, 690.

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}.