Given numbers are 855,728,194,288,689

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

The LCM of 855,728,194,288,689 is 12799856160.

Find LCM of 855,728,194,288,689 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 95 x 7 x 97 x 4 x 53 = 12799856160

Therefore, the lowest common multiple of 855,728,194,288,689 is 12799856160.

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.

855 x 728 x 194 x 288 x 689 = 23961330731520

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

194 : 1, 2, 97, 194

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,728,194,288,689, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

728:2x 2x 2x 7x 13

194:2x 97

288:2x 2x 2x 2x 2x 3x 3

689:13x 53

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 23961330731520/(1x1872)

LCM = 23961330731520/1872

LCM = 12799856160

Thus, we can understand that the LCM of 855,728,194,288,689 is 12799856160.

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

• LCM of 243, 364, 819, 770, 232
• LCM of 421, 649, 792, 609, 338
• LCM of 497, 883, 622, 302, 133
• LCM of 362, 696, 593, 324, 502
• LCM of 760, 833, 468, 619, 132

1. What is the LCM of 855, 728, 194, 288, 689?

Answer: LCM of 855, 728, 194, 288, 689 is 12799856160.

2. How to calculate the LCM of 855, 728, 194, 288, 689?

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 855, 728, 194, 288, 689.

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}.