Given numbers are 580,521,800,912,349

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

The LCM of 580,521,800,912,349 is 240450669600.

Find LCM of 580,521,800,912,349 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 29 x 521 x 10 x 57 x 349 = 240450669600

Therefore, the lowest common multiple of 580,521,800,912,349 is 240450669600.

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.

580 x 521 x 800 x 912 x 349 = 76944214272000

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

521 : 1, 521

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,521,800,912,349, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

521:521

800:2x 2x 2x 2x 2x 5x 5

912:2x 2x 2x 2x 3x 19

349:349

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 5 = 320

Therefore, the value for common factors is 320.

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 = 76944214272000/(1x320)

LCM = 76944214272000/320

LCM = 240450669600

Thus, we can understand that the LCM of 580,521,800,912,349 is 240450669600.

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

• LCM of 269, 300, 933, 149, 421
• LCM of 175, 955, 816, 468, 876
• LCM of 556, 308, 202, 671, 453
• LCM of 309, 831, 380, 386, 397
• LCM of 936, 613, 267, 101, 908

1. What is the LCM of 580, 521, 800, 912, 349?

Answer: LCM of 580, 521, 800, 912, 349 is 240450669600.

2. How to calculate the LCM of 580, 521, 800, 912, 349?

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 580, 521, 800, 912, 349.

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}.