Given numbers are 584,904,493,313,210

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

The LCM of 584,904,493,313,210 is 1069231750440.

Find LCM of 584,904,493,313,210 with Prime Factorization

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

2 x 2 x 2 x 73 x 113 x 493 x 313 x 105 = 1069231750440

Therefore, the lowest common multiple of 584,904,493,313,210 is 1069231750440.

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.

584 x 904 x 493 x 313 x 210 = 17107708007040

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

904 : 1, 2, 4, 8, 113, 226, 452, 904

493 : 1, 17, 29, 493

313 : 1, 313

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,904,493,313,210, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

904:2x 2x 2x 113

493:17x 29

313:313

210:2x 3x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 17107708007040/(1x16)

LCM = 17107708007040/16

LCM = 1069231750440

Thus, we can understand that the LCM of 584,904,493,313,210 is 1069231750440.

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

• LCM of 982, 318, 300, 105, 890
• LCM of 406, 160, 859, 766, 300
• LCM of 449, 309, 870, 627, 799
• LCM of 152, 486, 802, 936, 878
• LCM of 642, 710, 501, 470, 101

1. What is the LCM of 584, 904, 493, 313, 210?

Answer: LCM of 584, 904, 493, 313, 210 is 1069231750440.

2. How to calculate the LCM of 584, 904, 493, 313, 210?

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 584, 904, 493, 313, 210.

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}.