Given numbers are 258,660,816,549

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

The LCM of 258,660,816,549 is 353160720.

Find LCM of 258,660,816,549 with Prime Factorization

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

2 x 2 x 3 x 43 x 55 x 68 x 183 = 353160720

Therefore, the lowest common multiple of 258,660,816,549 is 353160720.

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.

258 x 660 x 816 x 549 = 76282715520

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

549 : 1, 3, 9, 61, 183, 549

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,660,816,549, is 3.

Now, the common factors can be found like this.

258:2x 3x 43

660:2x 2x 3x 5x 11

816:2x 2x 2x 2x 3x 17

549:3x 3x 61

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 76282715520/(3x72)

LCM = 76282715520/216

LCM = 353160720

Thus, we can understand that the LCM of 258,660,816,549 is 353160720.

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

• LCM of 221, 447, 311, 417
• LCM of 851, 546, 767, 878
• LCM of 868, 139, 160, 449
• LCM of 490, 242, 825, 364
• LCM of 649, 590, 928, 600

1. What is the LCM of 258, 660, 816, 549?

Answer: LCM of 258, 660, 816, 549 is 353160720.

2. How to calculate the LCM of 258, 660, 816, 549?

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 258, 660, 816, 549.

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}.