Given numbers are 484,381,214,702,321

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

The LCM of 484,381,214,702,321 is 2308553676.

Find LCM of 484,381,214,702,321 with Prime Factorization

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

2 x 3 x 107 x 242 x 127 x 1 x 117 x 1 = 2308553676

Therefore, the lowest common multiple of 484,381,214,702,321 is 2308553676.

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.

484 x 381 x 214 x 702 x 321 = 8892548759952

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

381 : 1, 3, 127, 381

214 : 1, 2, 107, 214

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,381,214,702,321, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

381:3x 127

214:2x 107

702:2x 3x 3x 3x 13

321:3x 107

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 3x 3x 107 = 3852

Therefore, the value for common factors is 3852.

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 = 8892548759952/(1x3852)

LCM = 8892548759952/3852

LCM = 2308553676

Thus, we can understand that the LCM of 484,381,214,702,321 is 2308553676.

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

• LCM of 128, 537, 168, 647, 623
• LCM of 517, 387, 423, 241, 318
• LCM of 396, 277, 506, 160, 276
• LCM of 855, 864, 654, 900, 659
• LCM of 469, 821, 257, 973, 761

1. What is the LCM of 484, 381, 214, 702, 321?

Answer: LCM of 484, 381, 214, 702, 321 is 2308553676.

2. How to calculate the LCM of 484, 381, 214, 702, 321?

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 484, 381, 214, 702, 321.

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}.