Given numbers are 586,490,403,642

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

The LCM of 586,490,403,642 is 18572645910.

Find LCM of 586,490,403,642 with Prime Factorization

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

2 x 293 x 245 x 403 x 321 = 18572645910

Therefore, the lowest common multiple of 586,490,403,642 is 18572645910.

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.

586 x 490 x 403 x 642 = 74290583640

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.

586 : 1, 2, 293, 586

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

403 : 1, 13, 31, 403

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,490,403,642, is 1.

Now, the common factors can be found like this.

586:2x 293

490:2x 5x 7x 7

403:13x 31

642:2x 3x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 74290583640/(1x4)

LCM = 74290583640/4

LCM = 18572645910

Thus, we can understand that the LCM of 586,490,403,642 is 18572645910.

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

• LCM of 944, 552, 886, 939
• LCM of 208, 476, 874, 773
• LCM of 789, 953, 211, 322
• LCM of 332, 372, 320, 344
• LCM of 938, 336, 715, 418

1. What is the LCM of 586, 490, 403, 642?

Answer: LCM of 586, 490, 403, 642 is 18572645910.

2. How to calculate the LCM of 586, 490, 403, 642?

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 586, 490, 403, 642.

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}.