Given numbers are 321,186,493,368

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

The LCM of 321,186,493,368 is 1805350224.

Find LCM of 321,186,493,368 with Prime Factorization

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

2 x 3 x 107 x 31 x 493 x 184 = 1805350224

Therefore, the lowest common multiple of 321,186,493,368 is 1805350224.

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 186 x 493 x 368 = 10832101344

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

493 : 1, 17, 29, 493

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,186,493,368, is 1.

Now, the common factors can be found like this.

321:3x 107

186:2x 3x 31

493:17x 29

368:2x 2x 2x 2x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10832101344/(1x6)

LCM = 10832101344/6

LCM = 1805350224

Thus, we can understand that the LCM of 321,186,493,368 is 1805350224.

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

• LCM of 383, 803, 365, 348
• LCM of 935, 990, 340, 332
• LCM of 280, 581, 559, 642
• LCM of 724, 571, 200, 967
• LCM of 986, 401, 123, 490

1. What is the LCM of 321, 186, 493, 368?

Answer: LCM of 321, 186, 493, 368 is 1805350224.

2. How to calculate the LCM of 321, 186, 493, 368?

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, 186, 493, 368.

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}.