Given numbers are 810,788,420,460

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

The LCM of 810,788,420,460 is 51381540.

Find LCM of 810,788,420,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 27 x 197 x 7 x 23 = 51381540

Therefore, the lowest common multiple of 810,788,420,460 is 51381540.

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 788 x 420 x 460 = 123315696000

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

788 : 1, 2, 4, 197, 394, 788

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,788,420,460, is 2.

Now, the common factors can be found like this.

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

788:2x 2x 197

420:2x 2x 3x 5x 7

460:2x 2x 5x 23

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 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 123315696000/(2x1200)

LCM = 123315696000/2400

LCM = 51381540

Thus, we can understand that the LCM of 810,788,420,460 is 51381540.

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

• LCM of 800, 897, 570, 156
• LCM of 360, 237, 518, 897
• LCM of 212, 630, 578, 842
• LCM of 905, 851, 322, 794
• LCM of 464, 237, 269, 499

1. What is the LCM of 810, 788, 420, 460?

Answer: LCM of 810, 788, 420, 460 is 51381540.

2. How to calculate the LCM of 810, 788, 420, 460?

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, 788, 420, 460.

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}.