Given numbers are 816,990,986,506

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

The LCM of 816,990,986,506 is 89804880.

Find LCM of 816,990,986,506 with Prime Factorization

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

2 x 3 x 11 x 17 x 8 x 15 x 29 x 23 = 89804880

Therefore, the lowest common multiple of 816,990,986,506 is 89804880.

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.

816 x 990 x 986 x 506 = 403044301440

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,990,986,506, is 2.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

990:2x 3x 3x 5x 11

986:2x 17x 29

506:2x 11x 23

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 3x 11x 17 = 2244

Therefore, the value for common factors is 2244.

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 = 403044301440/(2x2244)

LCM = 403044301440/4488

LCM = 89804880

Thus, we can understand that the LCM of 816,990,986,506 is 89804880.

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

• LCM of 908, 388, 643, 949
• LCM of 794, 861, 581, 401
• LCM of 760, 461, 118, 409
• LCM of 129, 295, 401, 775
• LCM of 206, 300, 997, 782

1. What is the LCM of 816, 990, 986, 506?

Answer: LCM of 816, 990, 986, 506 is 89804880.

2. How to calculate the LCM of 816, 990, 986, 506?

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 816, 990, 986, 506.

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}.