Given numbers are 842,406,621,728,590

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

The LCM of 842,406,621,728,590 is 1628265005640.

Find LCM of 842,406,621,728,590 with Prime Factorization

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

2 x 7 x 421 x 29 x 621 x 52 x 295 = 1628265005640

Therefore, the lowest common multiple of 842,406,621,728,590 is 1628265005640.

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.

842 x 406 x 621 x 728 x 590 = 91182840315840

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.

842 : 1, 2, 421, 842

406 : 1, 2, 7, 14, 29, 58, 203, 406

621 : 1, 3, 9, 23, 27, 69, 207, 621

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,406,621,728,590, is 1.

Now, the common factors can be found like this.

842:2x 421

406:2x 7x 29

621:3x 3x 3x 23

728:2x 2x 2x 7x 13

590:2x 5x 59

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 7 = 56

Therefore, the value for common factors is 56.

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 = 91182840315840/(1x56)

LCM = 91182840315840/56

LCM = 1628265005640

Thus, we can understand that the LCM of 842,406,621,728,590 is 1628265005640.

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

• LCM of 790, 100, 902, 493, 155
• LCM of 349, 469, 738, 576, 517
• LCM of 903, 785, 134, 295, 288
• LCM of 600, 651, 117, 172, 801
• LCM of 218, 758, 926, 129, 474

1. What is the LCM of 842, 406, 621, 728, 590?

Answer: LCM of 842, 406, 621, 728, 590 is 1628265005640.

2. How to calculate the LCM of 842, 406, 621, 728, 590?

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 842, 406, 621, 728, 590.

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}.