Given numbers are 817,395,208,816

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

The LCM of 817,395,208,816 is 3423360720.

Find LCM of 817,395,208,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 817 x 395 x 13 x 51 = 3423360720

Therefore, the lowest common multiple of 817,395,208,816 is 3423360720.

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.

817 x 395 x 208 x 816 = 54773771520

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.

817 : 1, 19, 43, 817

395 : 1, 5, 79, 395

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,395,208,816, is 1.

Now, the common factors can be found like this.

817:19x 43

395:5x 79

208:2x 2x 2x 2x 13

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

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 2 = 16

Therefore, the value for common factors is 16.

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 = 54773771520/(1x16)

LCM = 54773771520/16

LCM = 3423360720

Thus, we can understand that the LCM of 817,395,208,816 is 3423360720.

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

• LCM of 187, 651, 456, 875
• LCM of 767, 829, 574, 889
• LCM of 470, 302, 800, 644
• LCM of 840, 875, 414, 845
• LCM of 674, 291, 723, 897

1. What is the LCM of 817, 395, 208, 816?

Answer: LCM of 817, 395, 208, 816 is 3423360720.

2. How to calculate the LCM of 817, 395, 208, 816?

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 817, 395, 208, 816.

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}.