Given numbers are 585,143,494

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

The LCM of 585,143,494 is 244530.

Find LCM of 585,143,494 with Prime Factorization

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

13 x 45 x 11 x 38 = 244530

Therefore, the lowest common multiple of 585,143,494 is 244530.

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 143 x 494 = 41325570

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

143 : 1, 11, 13, 143

494 : 1, 2, 13, 19, 26, 38, 247, 494

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,143,494, is 13.

Now, the common factors can be found like this.

585:3x 3x 5x 13

143:11x 13

494:2x 13x 19

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

13 = 13

Therefore, the value for common factors is 13.

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 = 41325570/(13x13)

LCM = 41325570/169

LCM = 244530

Thus, we can understand that the LCM of 585,143,494 is 244530.

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

• LCM of 790, 211, 874
• LCM of 206, 330, 116
• LCM of 388, 907, 363
• LCM of 484, 478, 740
• LCM of 290, 702, 759

1. What is the LCM of 585, 143, 494?

Answer: LCM of 585, 143, 494 is 244530.

2. How to calculate the LCM of 585, 143, 494?

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, 143, 494.

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}.