Given numbers are 500,207,792,990

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

The LCM of 500,207,792,990 is 2277000.

Find LCM of 500,207,792,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 25 x 23 x 2 x 1 = 2277000

Therefore, the lowest common multiple of 500,207,792,990 is 2277000.

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.

500 x 207 x 792 x 990 = 81152280000

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

207 : 1, 3, 9, 23, 69, 207

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,207,792,990, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

207:3x 3x 23

792:2x 2x 2x 3x 3x 11

990:2x 3x 3x 5x 11

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 3x 3x 3x 5x 11 = 35640

Therefore, the value for common factors is 35640.

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 = 81152280000/(1x35640)

LCM = 81152280000/35640

LCM = 2277000

Thus, we can understand that the LCM of 500,207,792,990 is 2277000.

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

• LCM of 843, 196, 436, 373
• LCM of 296, 681, 717, 318
• LCM of 772, 297, 807, 464
• LCM of 640, 331, 495, 623
• LCM of 714, 383, 255, 429

1. What is the LCM of 500, 207, 792, 990?

Answer: LCM of 500, 207, 792, 990 is 2277000.

2. How to calculate the LCM of 500, 207, 792, 990?

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 500, 207, 792, 990.

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}.