Given numbers are 321,464,412,242,421

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

The LCM of 321,464,412,242,421 is 781497699312.

Find LCM of 321,464,412,242,421 with Prime Factorization

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

2 x 2 x 321 x 116 x 103 x 121 x 421 = 781497699312

Therefore, the lowest common multiple of 321,464,412,242,421 is 781497699312.

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.

321 x 464 x 412 x 242 x 421 = 6251981594496

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.

321 : 1, 3, 107, 321

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

412 : 1, 2, 4, 103, 206, 412

242 : 1, 2, 11, 22, 121, 242

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,464,412,242,421, is 1.

Now, the common factors can be found like this.

321:3x 107

464:2x 2x 2x 2x 29

412:2x 2x 103

242:2x 11x 11

421:421

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6251981594496/(1x8)

LCM = 6251981594496/8

LCM = 781497699312

Thus, we can understand that the LCM of 321,464,412,242,421 is 781497699312.

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

• LCM of 365, 200, 114, 875, 225
• LCM of 663, 340, 494, 582, 773
• LCM of 757, 669, 838, 669, 185
• LCM of 284, 147, 802, 350, 114
• LCM of 589, 178, 849, 727, 686

1. What is the LCM of 321, 464, 412, 242, 421?

Answer: LCM of 321, 464, 412, 242, 421 is 781497699312.

2. How to calculate the LCM of 321, 464, 412, 242, 421?

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 321, 464, 412, 242, 421.

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}.