Given numbers are 422,509,516,128,590

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

The LCM of 422,509,516,128,590 is 523144824960.

Find LCM of 422,509,516,128,590 with Prime Factorization

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

2 x 2 x 211 x 509 x 129 x 32 x 295 = 523144824960

Therefore, the lowest common multiple of 422,509,516,128,590 is 523144824960.

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.

422 x 509 x 516 x 128 x 590 = 8370317199360

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.

422 : 1, 2, 211, 422

509 : 1, 509

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

128 : 1, 2, 4, 8, 16, 32, 64, 128

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,509,516,128,590, is 1.

Now, the common factors can be found like this.

422:2x 211

509:509

516:2x 2x 3x 43

128:2x 2x 2x 2x 2x 2x 2

590:2x 5x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8370317199360/(1x16)

LCM = 8370317199360/16

LCM = 523144824960

Thus, we can understand that the LCM of 422,509,516,128,590 is 523144824960.

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

• LCM of 902, 270, 151, 640, 459
• LCM of 849, 865, 705, 337, 563
• LCM of 375, 781, 858, 205, 134
• LCM of 215, 580, 299, 449, 633
• LCM of 861, 609, 663, 166, 624

1. What is the LCM of 422, 509, 516, 128, 590?

Answer: LCM of 422, 509, 516, 128, 590 is 523144824960.

2. How to calculate the LCM of 422, 509, 516, 128, 590?

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 422, 509, 516, 128, 590.

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}.