Given numbers are 990,566,698,523,756

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

The LCM of 990,566,698,523,756 is 2147820762780.

Find LCM of 990,566,698,523,756 with Prime Factorization

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

2 x 3 x 3 x 55 x 283 x 349 x 523 x 42 = 2147820762780

Therefore, the lowest common multiple of 990,566,698,523,756 is 2147820762780.

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.

990 x 566 x 698 x 523 x 756 = 154643094920160

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.

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

566 : 1, 2, 283, 566

698 : 1, 2, 349, 698

523 : 1, 523

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,566,698,523,756, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

566:2x 283

698:2x 349

523:523

756:2x 2x 3x 3x 3x 7

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 3 = 72

Therefore, the value for common factors is 72.

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 = 154643094920160/(1x72)

LCM = 154643094920160/72

LCM = 2147820762780

Thus, we can understand that the LCM of 990,566,698,523,756 is 2147820762780.

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

• LCM of 718, 385, 263, 721, 755
• LCM of 870, 932, 557, 182, 826
• LCM of 510, 790, 863, 399, 636
• LCM of 463, 714, 611, 177, 142
• LCM of 555, 576, 851, 109, 681

1. What is the LCM of 990, 566, 698, 523, 756?

Answer: LCM of 990, 566, 698, 523, 756 is 2147820762780.

2. How to calculate the LCM of 990, 566, 698, 523, 756?

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 990, 566, 698, 523, 756.

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}.