Given numbers are 301,382,172,321

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

The LCM of 301,382,172,321 is 73818444.

Find LCM of 301,382,172,321 with Prime Factorization

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

2 x 43 x 7 x 191 x 2 x 321 = 73818444

Therefore, the lowest common multiple of 301,382,172,321 is 73818444.

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.

301 x 382 x 172 x 321 = 6348386184

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.

301 : 1, 7, 43, 301

382 : 1, 2, 191, 382

172 : 1, 2, 4, 43, 86, 172

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,382,172,321, is 1.

Now, the common factors can be found like this.

301:7x 43

382:2x 191

172:2x 2x 43

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 43 = 86

Therefore, the value for common factors is 86.

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 = 6348386184/(1x86)

LCM = 6348386184/86

LCM = 73818444

Thus, we can understand that the LCM of 301,382,172,321 is 73818444.

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

• LCM of 157, 636, 382, 613
• LCM of 507, 459, 990, 462
• LCM of 536, 611, 274, 648
• LCM of 778, 831, 643, 253
• LCM of 652, 640, 693, 749

1. What is the LCM of 301, 382, 172, 321?

Answer: LCM of 301, 382, 172, 321 is 73818444.

2. How to calculate the LCM of 301, 382, 172, 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 301, 382, 172, 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}.