Given numbers are 464,642,810,425

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

The LCM of 464,642,810,425 is 1709132400.

Find LCM of 464,642,810,425 with Prime Factorization

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

2 x 3 x 5 x 232 x 107 x 27 x 85 = 1709132400

Therefore, the lowest common multiple of 464,642,810,425 is 1709132400.

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.

464 x 642 x 810 x 425 = 102547944000

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,642,810,425, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

642:2x 3x 107

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

425:5x 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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 102547944000/(1x60)

LCM = 102547944000/60

LCM = 1709132400

Thus, we can understand that the LCM of 464,642,810,425 is 1709132400.

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

• LCM of 841, 691, 381, 482
• LCM of 106, 154, 657, 916
• LCM of 909, 220, 531, 778
• LCM of 449, 742, 607, 780
• LCM of 700, 585, 877, 117

1. What is the LCM of 464, 642, 810, 425?

Answer: LCM of 464, 642, 810, 425 is 1709132400.

2. How to calculate the LCM of 464, 642, 810, 425?

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 464, 642, 810, 425.

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}.