Given numbers are 576,470,626,480,517

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

The LCM of 576,470,626,480,517 is 466044480.

Find LCM of 576,470,626,480,517 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 47 x 6 x 1 x 313 x 1 x 11 = 466044480

Therefore, the lowest common multiple of 576,470,626,480,517 is 466044480.

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.

576 x 470 x 626 x 480 x 517 = 42055853875200

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

470 : 1, 2, 5, 10, 47, 94, 235, 470

626 : 1, 2, 313, 626

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

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,470,626,480,517, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

470:2x 5x 47

626:2x 313

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

517:11x 47

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 3x 5x 47 = 90240

Therefore, the value for common factors is 90240.

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 = 42055853875200/(1x90240)

LCM = 42055853875200/90240

LCM = 466044480

Thus, we can understand that the LCM of 576,470,626,480,517 is 466044480.

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

• LCM of 924, 346, 803, 754, 526
• LCM of 619, 577, 789, 486, 105
• LCM of 737, 812, 766, 565, 694
• LCM of 906, 372, 329, 462, 549
• LCM of 650, 589, 622, 225, 863

1. What is the LCM of 576, 470, 626, 480, 517?

Answer: LCM of 576, 470, 626, 480, 517 is 466044480.

2. How to calculate the LCM of 576, 470, 626, 480, 517?

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 576, 470, 626, 480, 517.

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}.