Given numbers are 494,106,304,214,399

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

The LCM of 494,106,304,214,399 is 470647632.

Find LCM of 494,106,304,214,399 with Prime Factorization

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

2 x 19 x 13 x 53 x 8 x 107 x 21 = 470647632

Therefore, the lowest common multiple of 494,106,304,214,399 is 470647632.

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.

494 x 106 x 304 x 214 x 399 = 1359230361216

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

106 : 1, 2, 53, 106

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

214 : 1, 2, 107, 214

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,106,304,214,399, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

106:2x 53

304:2x 2x 2x 2x 19

214:2x 107

399:3x 7x 19

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 2x 19x 19 = 2888

Therefore, the value for common factors is 2888.

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 = 1359230361216/(1x2888)

LCM = 1359230361216/2888

LCM = 470647632

Thus, we can understand that the LCM of 494,106,304,214,399 is 470647632.

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

• LCM of 987, 885, 727, 440, 835
• LCM of 792, 956, 491, 935, 172
• LCM of 357, 695, 134, 369, 358
• LCM of 353, 435, 786, 877, 324
• LCM of 941, 103, 787, 535, 397

1. What is the LCM of 494, 106, 304, 214, 399?

Answer: LCM of 494, 106, 304, 214, 399 is 470647632.

2. How to calculate the LCM of 494, 106, 304, 214, 399?

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 494, 106, 304, 214, 399.

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}.