Given numbers are 408,808,816,552,706

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

The LCM of 408,808,816,552,706 is 669135504.

Find LCM of 408,808,816,552,706 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 101 x 2 x 23 x 353 = 669135504

Therefore, the lowest common multiple of 408,808,816,552,706 is 669135504.

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.

408 x 808 x 816 x 552 x 706 = 104834797682688

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.

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,808,816,552,706, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

808:2x 2x 2x 101

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

552:2x 2x 2x 3x 23

706:2x 353

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 2x 2x 2x 2x 2x 3x 3x 17 = 78336

Therefore, the value for common factors is 78336.

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 = 104834797682688/(2x78336)

LCM = 104834797682688/156672

LCM = 669135504

Thus, we can understand that the LCM of 408,808,816,552,706 is 669135504.

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

• LCM of 895, 396, 526, 240, 390
• LCM of 749, 437, 678, 180, 836
• LCM of 809, 249, 309, 801, 845
• LCM of 769, 322, 302, 888, 570
• LCM of 917, 888, 276, 481, 601

1. What is the LCM of 408, 808, 816, 552, 706?

Answer: LCM of 408, 808, 816, 552, 706 is 669135504.

2. How to calculate the LCM of 408, 808, 816, 552, 706?

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 408, 808, 816, 552, 706.

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}.