Given numbers are 489,428,214,696,646

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

The LCM of 489,428,214,696,646 is 3920876328.

Find LCM of 489,428,214,696,646 with Prime Factorization

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

2 x 2 x 3 x 107 x 163 x 1 x 1 x 58 x 323 = 3920876328

Therefore, the lowest common multiple of 489,428,214,696,646 is 3920876328.

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 428 x 214 x 696 x 646 = 20137620820608

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

428 : 1, 2, 4, 107, 214, 428

214 : 1, 2, 107, 214

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,428,214,696,646, is 1.

Now, the common factors can be found like this.

489:3x 163

428:2x 2x 107

214:2x 107

696:2x 2x 2x 3x 29

646:2x 17x 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 2x 3x 107 = 5136

Therefore, the value for common factors is 5136.

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 = 20137620820608/(1x5136)

LCM = 20137620820608/5136

LCM = 3920876328

Thus, we can understand that the LCM of 489,428,214,696,646 is 3920876328.

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

• LCM of 326, 120, 870, 946, 265
• LCM of 983, 986, 100, 103, 843
• LCM of 606, 545, 938, 656, 630
• LCM of 999, 126, 189, 987, 377
• LCM of 910, 214, 877, 846, 833

1. What is the LCM of 489, 428, 214, 696, 646?

Answer: LCM of 489, 428, 214, 696, 646 is 3920876328.

2. How to calculate the LCM of 489, 428, 214, 696, 646?

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, 428, 214, 696, 646.

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}.