Given numbers are 642,559,710,974,414

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

The LCM of 642,559,710,974,414 is 4281078989070.

Find LCM of 642,559,710,974,414 with Prime Factorization

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

2 x 3 x 107 x 559 x 355 x 487 x 69 = 4281078989070

Therefore, the lowest common multiple of 642,559,710,974,414 is 4281078989070.

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 559 x 710 x 974 x 414 = 102745895737680

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

559 : 1, 13, 43, 559

710 : 1, 2, 5, 10, 71, 142, 355, 710

974 : 1, 2, 487, 974

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,559,710,974,414, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

559:13x 43

710:2x 5x 71

974:2x 487

414:2x 3x 3x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 102745895737680/(1x24)

LCM = 102745895737680/24

LCM = 4281078989070

Thus, we can understand that the LCM of 642,559,710,974,414 is 4281078989070.

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

• LCM of 661, 819, 636, 237, 347
• LCM of 522, 312, 144, 893, 653
• LCM of 394, 334, 972, 512, 497
• LCM of 137, 760, 551, 174, 128
• LCM of 102, 426, 481, 467, 255

1. What is the LCM of 642, 559, 710, 974, 414?

Answer: LCM of 642, 559, 710, 974, 414 is 4281078989070.

2. How to calculate the LCM of 642, 559, 710, 974, 414?

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, 559, 710, 974, 414.

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}.