Given numbers are 416,810,480,566

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

The LCM of 416,810,480,566 is 47679840.

Find LCM of 416,810,480,566 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 27 x 1 x 283 = 47679840

Therefore, the lowest common multiple of 416,810,480,566 is 47679840.

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.

416 x 810 x 480 x 566 = 91545292800

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,810,480,566, is 2.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

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

480:2x 2x 2x 2x 2x 3x 5

566:2x 283

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 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 91545292800/(2x960)

LCM = 91545292800/1920

LCM = 47679840

Thus, we can understand that the LCM of 416,810,480,566 is 47679840.

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

• LCM of 498, 648, 929, 568
• LCM of 490, 207, 201, 607
• LCM of 933, 509, 611, 174
• LCM of 280, 474, 914, 109
• LCM of 881, 260, 868, 159

1. What is the LCM of 416, 810, 480, 566?

Answer: LCM of 416, 810, 480, 566 is 47679840.

2. How to calculate the LCM of 416, 810, 480, 566?

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 416, 810, 480, 566.

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}.