Given numbers are 509,572,660,873,364

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

The LCM of 509,572,660,873,364 is 8896027140.

Find LCM of 509,572,660,873,364 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 509 x 1 x 5 x 291 x 7 = 8896027140

Therefore, the lowest common multiple of 509,572,660,873,364 is 8896027140.

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.

509 x 572 x 660 x 873 x 364 = 61062330288960

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.

509 : 1, 509

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

873 : 1, 3, 9, 97, 291, 873

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,572,660,873,364, is 1.

Now, the common factors can be found like this.

509:509

572:2x 2x 11x 13

660:2x 2x 3x 5x 11

873:3x 3x 97

364:2x 2x 7x 13

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 11x 13 = 6864

Therefore, the value for common factors is 6864.

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 = 61062330288960/(1x6864)

LCM = 61062330288960/6864

LCM = 8896027140

Thus, we can understand that the LCM of 509,572,660,873,364 is 8896027140.

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

• LCM of 570, 447, 774, 453, 901
• LCM of 928, 593, 628, 365, 500
• LCM of 402, 861, 689, 496, 722
• LCM of 216, 410, 879, 777, 152
• LCM of 533, 679, 626, 586, 391

1. What is the LCM of 509, 572, 660, 873, 364?

Answer: LCM of 509, 572, 660, 873, 364 is 8896027140.

2. How to calculate the LCM of 509, 572, 660, 873, 364?

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 509, 572, 660, 873, 364.

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}.