Given numbers are 305,381,208,854

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

The LCM of 305,381,208,854 is 169194480.

Find LCM of 305,381,208,854 with Prime Factorization

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

2 x 61 x 5 x 381 x 104 x 7 = 169194480

Therefore, the lowest common multiple of 305,381,208,854 is 169194480.

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.

305 x 381 x 208 x 854 = 20641726560

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.

305 : 1, 5, 61, 305

381 : 1, 3, 127, 381

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,381,208,854, is 1.

Now, the common factors can be found like this.

305:5x 61

381:3x 127

208:2x 2x 2x 2x 13

854:2x 7x 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 61 = 122

Therefore, the value for common factors is 122.

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 = 20641726560/(1x122)

LCM = 20641726560/122

LCM = 169194480

Thus, we can understand that the LCM of 305,381,208,854 is 169194480.

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

• LCM of 561, 673, 493, 681
• LCM of 795, 620, 712, 872
• LCM of 295, 692, 326, 625
• LCM of 476, 505, 844, 310
• LCM of 441, 873, 205, 209

1. What is the LCM of 305, 381, 208, 854?

Answer: LCM of 305, 381, 208, 854 is 169194480.

2. How to calculate the LCM of 305, 381, 208, 854?

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 305, 381, 208, 854.

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}.