Given numbers are 820,566,365,720,198

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

The LCM of 820,566,365,720,198 is 6708390480.

Find LCM of 820,566,365,720,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 41 x 283 x 73 x 4 x 11 = 6708390480

Therefore, the lowest common multiple of 820,566,365,720,198 is 6708390480.

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.

820 x 566 x 365 x 720 x 198 = 24150205728000

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

566 : 1, 2, 283, 566

365 : 1, 5, 73, 365

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,566,365,720,198, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

566:2x 283

365:5x 73

720:2x 2x 2x 2x 3x 3x 5

198:2x 3x 3x 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 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 24150205728000/(1x3600)

LCM = 24150205728000/3600

LCM = 6708390480

Thus, we can understand that the LCM of 820,566,365,720,198 is 6708390480.

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

• LCM of 316, 747, 229, 892, 241
• LCM of 945, 431, 869, 204, 571
• LCM of 587, 976, 401, 975, 632
• LCM of 144, 184, 331, 242, 937
• LCM of 706, 769, 447, 733, 999

1. What is the LCM of 820, 566, 365, 720, 198?

Answer: LCM of 820, 566, 365, 720, 198 is 6708390480.

2. How to calculate the LCM of 820, 566, 365, 720, 198?

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 820, 566, 365, 720, 198.

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}.