Given numbers are 290,730,472,836,404

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

The LCM of 290,730,472,836,404 is 105463097080.

Find LCM of 290,730,472,836,404 with Prime Factorization

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

2 x 2 x 5 x 29 x 73 x 118 x 209 x 101 = 105463097080

Therefore, the lowest common multiple of 290,730,472,836,404 is 105463097080.

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.

290 x 730 x 472 x 836 x 404 = 33748191065600

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

730 : 1, 2, 5, 10, 73, 146, 365, 730

472 : 1, 2, 4, 8, 59, 118, 236, 472

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

404 : 1, 2, 4, 101, 202, 404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,730,472,836,404, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

730:2x 5x 73

472:2x 2x 2x 59

836:2x 2x 11x 19

404:2x 2x 101

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 5 = 160

Therefore, the value for common factors is 160.

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 = 33748191065600/(2x160)

LCM = 33748191065600/320

LCM = 105463097080

Thus, we can understand that the LCM of 290,730,472,836,404 is 105463097080.

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

• LCM of 954, 610, 199, 515, 915
• LCM of 583, 962, 711, 115, 326
• LCM of 422, 231, 553, 607, 298
• LCM of 653, 541, 105, 663, 768
• LCM of 301, 850, 903, 499, 737

1. What is the LCM of 290, 730, 472, 836, 404?

Answer: LCM of 290, 730, 472, 836, 404 is 105463097080.

2. How to calculate the LCM of 290, 730, 472, 836, 404?

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 290, 730, 472, 836, 404.

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}.