Given numbers are 489,442,192,914

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

The LCM of 489,442,192,914 is 3160802112.

Find LCM of 489,442,192,914 with Prime Factorization

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

2 x 3 x 163 x 221 x 32 x 457 = 3160802112

Therefore, the lowest common multiple of 489,442,192,914 is 3160802112.

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.

489 x 442 x 192 x 914 = 37929625344

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.

489 : 1, 3, 163, 489

442 : 1, 2, 13, 17, 26, 34, 221, 442

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,442,192,914, is 1.

Now, the common factors can be found like this.

489:3x 163

442:2x 13x 17

192:2x 2x 2x 2x 2x 2x 3

914:2x 457

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 3 = 12

Therefore, the value for common factors is 12.

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 = 37929625344/(1x12)

LCM = 37929625344/12

LCM = 3160802112

Thus, we can understand that the LCM of 489,442,192,914 is 3160802112.

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

• LCM of 453, 962, 235, 120
• LCM of 255, 214, 522, 972
• LCM of 697, 272, 149, 948
• LCM of 842, 150, 871, 836
• LCM of 237, 330, 175, 567

1. What is the LCM of 489, 442, 192, 914?

Answer: LCM of 489, 442, 192, 914 is 3160802112.

2. How to calculate the LCM of 489, 442, 192, 914?

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 489, 442, 192, 914.

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}.