Given numbers are 255,480,511,854,977

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

The LCM of 255,480,511,854,977 is 248505186720.

Find LCM of 255,480,511,854,977 with Prime Factorization

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

2 x 3 x 5 x 7 x 17 x 16 x 73 x 61 x 977 = 248505186720

Therefore, the lowest common multiple of 255,480,511,854,977 is 248505186720.

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.

255 x 480 x 511 x 854 x 977 = 52186089211200

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

511 : 1, 7, 73, 511

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

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,480,511,854,977, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

480:2x 2x 2x 2x 2x 3x 5

511:7x 73

854:2x 7x 61

977:977

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 52186089211200/(1x210)

LCM = 52186089211200/210

LCM = 248505186720

Thus, we can understand that the LCM of 255,480,511,854,977 is 248505186720.

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

• LCM of 272, 421, 321, 160, 208
• LCM of 917, 994, 532, 998, 403
• LCM of 248, 479, 250, 168, 685
• LCM of 985, 783, 222, 477, 688
• LCM of 935, 826, 337, 628, 743

1. What is the LCM of 255, 480, 511, 854, 977?

Answer: LCM of 255, 480, 511, 854, 977 is 248505186720.

2. How to calculate the LCM of 255, 480, 511, 854, 977?

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 255, 480, 511, 854, 977.

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}.