Given numbers are 790,313,910,208,850

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

The LCM of 790,313,910,208,850 is 15301067600.

Find LCM of 790,313,910,208,850 with Prime Factorization

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

2 x 5 x 13 x 79 x 313 x 7 x 8 x 85 = 15301067600

Therefore, the lowest common multiple of 790,313,910,208,850 is 15301067600.

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.

790 x 313 x 910 x 208 x 850 = 39782775760000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

313 : 1, 313

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,313,910,208,850, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

313:313

910:2x 5x 7x 13

208:2x 2x 2x 2x 13

850:2x 5x 5x 17

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 5x 5x 13 = 2600

Therefore, the value for common factors is 2600.

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 = 39782775760000/(1x2600)

LCM = 39782775760000/2600

LCM = 15301067600

Thus, we can understand that the LCM of 790,313,910,208,850 is 15301067600.

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

• LCM of 293, 312, 313, 907, 572
• LCM of 506, 333, 587, 123, 230
• LCM of 795, 169, 978, 720, 719
• LCM of 114, 792, 740, 171, 717
• LCM of 713, 823, 438, 200, 692

1. What is the LCM of 790, 313, 910, 208, 850?

Answer: LCM of 790, 313, 910, 208, 850 is 15301067600.

2. How to calculate the LCM of 790, 313, 910, 208, 850?

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 790, 313, 910, 208, 850.

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}.