Given numbers are 810,755,780,714,395

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

The LCM of 810,755,780,714,395 is 29895744060.

Find LCM of 810,755,780,714,395 with Prime Factorization

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

2 x 3 x 5 x 27 x 151 x 26 x 119 x 79 = 29895744060

Therefore, the lowest common multiple of 810,755,780,714,395 is 29895744060.

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.

810 x 755 x 780 x 714 x 395 = 134530848270000

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

755 : 1, 5, 151, 755

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,755,780,714,395, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

755:5x 151

780:2x 2x 3x 5x 13

714:2x 3x 7x 17

395:5x 79

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 134530848270000/(1x4500)

LCM = 134530848270000/4500

LCM = 29895744060

Thus, we can understand that the LCM of 810,755,780,714,395 is 29895744060.

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

• LCM of 859, 804, 229, 953, 536
• LCM of 350, 913, 572, 425, 970
• LCM of 283, 646, 446, 142, 360
• LCM of 116, 656, 135, 427, 464
• LCM of 643, 589, 617, 797, 423

1. What is the LCM of 810, 755, 780, 714, 395?

Answer: LCM of 810, 755, 780, 714, 395 is 29895744060.

2. How to calculate the LCM of 810, 755, 780, 714, 395?

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 810, 755, 780, 714, 395.

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}.