Given numbers are 348,489,816,250,687

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

The LCM of 348,489,816,250,687 is 110413266000.

Find LCM of 348,489,816,250,687 with Prime Factorization

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

2 x 2 x 3 x 29 x 163 x 68 x 125 x 229 = 110413266000

Therefore, the lowest common multiple of 348,489,816,250,687 is 110413266000.

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.

348 x 489 x 816 x 250 x 687 = 23849265456000

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

489 : 1, 3, 163, 489

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

250 : 1, 2, 5, 10, 25, 50, 125, 250

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,489,816,250,687, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

489:3x 163

816:2x 2x 2x 2x 3x 17

250:2x 5x 5x 5

687:3x 229

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 23849265456000/(1x216)

LCM = 23849265456000/216

LCM = 110413266000

Thus, we can understand that the LCM of 348,489,816,250,687 is 110413266000.

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

• LCM of 691, 690, 410, 655, 319
• LCM of 140, 106, 588, 359, 496
• LCM of 589, 108, 192, 881, 371
• LCM of 759, 534, 284, 823, 746
• LCM of 455, 764, 978, 904, 496

1. What is the LCM of 348, 489, 816, 250, 687?

Answer: LCM of 348, 489, 816, 250, 687 is 110413266000.

2. How to calculate the LCM of 348, 489, 816, 250, 687?

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 348, 489, 816, 250, 687.

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}.