Given numbers are 855,476,288,704,121

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

The LCM of 855,476,288,704,121 is 787913280.

Find LCM of 855,476,288,704,121 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 95 x 119 x 1 x 2 x 11 = 787913280

Therefore, the lowest common multiple of 855,476,288,704,121 is 787913280.

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 476 x 288 x 704 x 121 = 9984437084160

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,476,288,704,121, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

476:2x 2x 7x 17

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

704:2x 2x 2x 2x 2x 2x 11

121:11x 11

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 2x 2x 3x 3x 11 = 12672

Therefore, the value for common factors is 12672.

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 = 9984437084160/(1x12672)

LCM = 9984437084160/12672

LCM = 787913280

Thus, we can understand that the LCM of 855,476,288,704,121 is 787913280.

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

• LCM of 670, 254, 505, 285, 521
• LCM of 639, 615, 572, 973, 524
• LCM of 654, 774, 441, 541, 574
• LCM of 693, 590, 499, 736, 498
• LCM of 458, 424, 859, 552, 969

1. What is the LCM of 855, 476, 288, 704, 121?

Answer: LCM of 855, 476, 288, 704, 121 is 787913280.

2. How to calculate the LCM of 855, 476, 288, 704, 121?

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, 476, 288, 704, 121.

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}.