Given numbers are 585,464,973,165,429

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

The LCM of 585,464,973,165,429 is 2905222320.

Find LCM of 585,464,973,165,429 with Prime Factorization

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

3 x 5 x 11 x 13 x 3 x 464 x 973 x 1 x 1 = 2905222320

Therefore, the lowest common multiple of 585,464,973,165,429 is 2905222320.

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.

585 x 464 x 973 x 165 x 429 = 18695105629200

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

973 : 1, 7, 139, 973

165 : 1, 3, 5, 11, 15, 33, 55, 165

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,464,973,165,429, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

464:2x 2x 2x 2x 29

973:7x 139

165:3x 5x 11

429:3x 11x 13

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

3x 3x 5x 11x 13 = 6435

Therefore, the value for common factors is 6435.

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 = 18695105629200/(1x6435)

LCM = 18695105629200/6435

LCM = 2905222320

Thus, we can understand that the LCM of 585,464,973,165,429 is 2905222320.

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

• LCM of 882, 395, 687, 108, 225
• LCM of 593, 320, 437, 339, 674
• LCM of 261, 501, 875, 217, 162
• LCM of 216, 742, 868, 231, 455
• LCM of 776, 156, 446, 573, 942

1. What is the LCM of 585, 464, 973, 165, 429?

Answer: LCM of 585, 464, 973, 165, 429 is 2905222320.

2. How to calculate the LCM of 585, 464, 973, 165, 429?

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 585, 464, 973, 165, 429.

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}.