Given numbers are 255,401,563,121,864

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

The LCM of 255,401,563,121,864 is 2006184201120.

Find LCM of 255,401,563,121,864 with Prime Factorization

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

3 x 85 x 401 x 563 x 121 x 288 = 2006184201120

Therefore, the lowest common multiple of 255,401,563,121,864 is 2006184201120.

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 401 x 563 x 121 x 864 = 6018552603360

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

401 : 1, 401

563 : 1, 563

121 : 1, 11, 121

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,401,563,121,864, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

401:401

563:563

121:11x 11

864:2x 2x 2x 2x 2x 3x 3x 3

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6018552603360/(1x3)

LCM = 6018552603360/3

LCM = 2006184201120

Thus, we can understand that the LCM of 255,401,563,121,864 is 2006184201120.

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

• LCM of 892, 246, 162, 949, 359
• LCM of 586, 698, 714, 327, 219
• LCM of 858, 761, 844, 544, 190
• LCM of 567, 659, 907, 595, 733
• LCM of 341, 445, 848, 501, 508

1. What is the LCM of 255, 401, 563, 121, 864?

Answer: LCM of 255, 401, 563, 121, 864 is 2006184201120.

2. How to calculate the LCM of 255, 401, 563, 121, 864?

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, 401, 563, 121, 864.

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}.