Given numbers are 394,404,216,493

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

The LCM of 394,404,216,493 is 2118791736.

Find LCM of 394,404,216,493 with Prime Factorization

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

2 x 2 x 197 x 101 x 54 x 493 = 2118791736

Therefore, the lowest common multiple of 394,404,216,493 is 2118791736.

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.

394 x 404 x 216 x 493 = 16950333888

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.

394 : 1, 2, 197, 394

404 : 1, 2, 4, 101, 202, 404

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,404,216,493, is 1.

Now, the common factors can be found like this.

394:2x 197

404:2x 2x 101

216:2x 2x 2x 3x 3x 3

493:17x 29

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 = 16950333888/(1x8)

LCM = 16950333888/8

LCM = 2118791736

Thus, we can understand that the LCM of 394,404,216,493 is 2118791736.

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

• LCM of 632, 459, 771, 547
• LCM of 970, 282, 107, 780
• LCM of 705, 591, 916, 996
• LCM of 365, 731, 863, 647
• LCM of 225, 889, 294, 285

1. What is the LCM of 394, 404, 216, 493?

Answer: LCM of 394, 404, 216, 493 is 2118791736.

2. How to calculate the LCM of 394, 404, 216, 493?

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 394, 404, 216, 493.

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}.