Given numbers are 585,136,646,313

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

The LCM of 585,136,646,313 is 473143320.

Find LCM of 585,136,646,313 with Prime Factorization

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

2 x 17 x 585 x 4 x 19 x 313 = 473143320

Therefore, the lowest common multiple of 585,136,646,313 is 473143320.

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 136 x 646 x 313 = 16086872880

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

646 : 1, 2, 17, 19, 34, 38, 323, 646

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,136,646,313, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

136:2x 2x 2x 17

646:2x 17x 19

313:313

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 16086872880/(1x34)

LCM = 16086872880/34

LCM = 473143320

Thus, we can understand that the LCM of 585,136,646,313 is 473143320.

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

• LCM of 704, 689, 353, 267
• LCM of 813, 505, 962, 392
• LCM of 693, 273, 830, 703
• LCM of 719, 698, 615, 900
• LCM of 352, 762, 870, 208

1. What is the LCM of 585, 136, 646, 313?

Answer: LCM of 585, 136, 646, 313 is 473143320.

2. How to calculate the LCM of 585, 136, 646, 313?

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, 136, 646, 313.

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}.