Given numbers are 464,104,533,560

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

The LCM of 464,104,533,560 is 8655920.

Find LCM of 464,104,533,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 29 x 1 x 41 x 35 = 8655920

Therefore, the lowest common multiple of 464,104,533,560 is 8655920.

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 104 x 533 x 560 = 14403450880

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

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

533 : 1, 13, 41, 533

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,104,533,560, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

104:2x 2x 2x 13

533:13x 41

560:2x 2x 2x 2x 5x 7

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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 14403450880/(1x1664)

LCM = 14403450880/1664

LCM = 8655920

Thus, we can understand that the LCM of 464,104,533,560 is 8655920.

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

• LCM of 755, 699, 226, 542
• LCM of 699, 907, 701, 726
• LCM of 795, 422, 233, 119
• LCM of 833, 575, 787, 999
• LCM of 851, 425, 200, 369

1. What is the LCM of 464, 104, 533, 560?

Answer: LCM of 464, 104, 533, 560 is 8655920.

2. How to calculate the LCM of 464, 104, 533, 560?

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, 104, 533, 560.

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}.