Given numbers are 208,912,585,259,842

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

The LCM of 208,912,585,259,842 is 19391495760.

Find LCM of 208,912,585,259,842 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 1 x 19 x 15 x 259 x 421 = 19391495760

Therefore, the lowest common multiple of 208,912,585,259,842 is 19391495760.

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.

208 x 912 x 585 x 259 x 842 = 24200586708480

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

259 : 1, 7, 37, 259

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,912,585,259,842, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

912:2x 2x 2x 2x 3x 19

585:3x 3x 5x 13

259:7x 37

842:2x 421

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 24200586708480/(1x1248)

LCM = 24200586708480/1248

LCM = 19391495760

Thus, we can understand that the LCM of 208,912,585,259,842 is 19391495760.

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

• LCM of 585, 305, 963, 853, 124
• LCM of 399, 990, 362, 141, 213
• LCM of 856, 709, 869, 489, 338
• LCM of 978, 255, 839, 977, 951
• LCM of 115, 726, 405, 810, 882

1. What is the LCM of 208, 912, 585, 259, 842?

Answer: LCM of 208, 912, 585, 259, 842 is 19391495760.

2. How to calculate the LCM of 208, 912, 585, 259, 842?

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 208, 912, 585, 259, 842.

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}.