Given numbers are 816,977,587,278,585

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

The LCM of 816,977,587,278,585 is 12684467362320.

Find LCM of 816,977,587,278,585 with Prime Factorization

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

2 x 3 x 136 x 977 x 587 x 139 x 195 = 12684467362320

Therefore, the lowest common multiple of 816,977,587,278,585 is 12684467362320.

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 977 x 587 x 278 x 585 = 76106804173920

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

977 : 1, 977

587 : 1, 587

278 : 1, 2, 139, 278

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,977,587,278,585, is 1.

Now, the common factors can be found like this.

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

977:977

587:587

278:2x 139

585:3x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 76106804173920/(1x6)

LCM = 76106804173920/6

LCM = 12684467362320

Thus, we can understand that the LCM of 816,977,587,278,585 is 12684467362320.

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

• LCM of 261, 751, 355, 784, 923
• LCM of 798, 185, 817, 670, 964
• LCM of 448, 182, 333, 355, 718
• LCM of 977, 484, 409, 284, 901
• LCM of 785, 136, 528, 637, 364

1. What is the LCM of 816, 977, 587, 278, 585?

Answer: LCM of 816, 977, 587, 278, 585 is 12684467362320.

2. How to calculate the LCM of 816, 977, 587, 278, 585?

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, 977, 587, 278, 585.

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}.