Given numbers are 430,320,894,770,519

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

The LCM of 430,320,894,770,519 is 81933741120.

Find LCM of 430,320,894,770,519 with Prime Factorization

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

2 x 3 x 5 x 43 x 32 x 149 x 77 x 173 = 81933741120

Therefore, the lowest common multiple of 430,320,894,770,519 is 81933741120.

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.

430 x 320 x 894 x 770 x 519 = 49160244672000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

894 : 1, 2, 3, 6, 149, 298, 447, 894

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,320,894,770,519, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

320:2x 2x 2x 2x 2x 2x 5

894:2x 3x 149

770:2x 5x 7x 11

519:3x 173

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 49160244672000/(1x600)

LCM = 49160244672000/600

LCM = 81933741120

Thus, we can understand that the LCM of 430,320,894,770,519 is 81933741120.

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

• LCM of 151, 316, 896, 370, 361
• LCM of 254, 189, 240, 995, 788
• LCM of 272, 642, 123, 302, 667
• LCM of 725, 134, 801, 432, 839
• LCM of 978, 949, 812, 445, 991

1. What is the LCM of 430, 320, 894, 770, 519?

Answer: LCM of 430, 320, 894, 770, 519 is 81933741120.

2. How to calculate the LCM of 430, 320, 894, 770, 519?

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 430, 320, 894, 770, 519.

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}.