Given numbers are 395,816,208,729

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

The LCM of 395,816,208,729 is 1018208880.

Find LCM of 395,816,208,729 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 395 x 17 x 13 x 243 = 1018208880

Therefore, the lowest common multiple of 395,816,208,729 is 1018208880.

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.

395 x 816 x 208 x 729 = 48874026240

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.

395 : 1, 5, 79, 395

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

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

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,816,208,729, is 1.

Now, the common factors can be found like this.

395:5x 79

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

208:2x 2x 2x 2x 13

729:3x 3x 3x 3x 3x 3

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 3 = 48

Therefore, the value for common factors is 48.

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 = 48874026240/(1x48)

LCM = 48874026240/48

LCM = 1018208880

Thus, we can understand that the LCM of 395,816,208,729 is 1018208880.

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

• LCM of 992, 735, 673, 144
• LCM of 570, 409, 906, 912
• LCM of 643, 155, 172, 683
• LCM of 305, 662, 345, 705
• LCM of 446, 364, 728, 689

1. What is the LCM of 395, 816, 208, 729?

Answer: LCM of 395, 816, 208, 729 is 1018208880.

2. How to calculate the LCM of 395, 816, 208, 729?

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 395, 816, 208, 729.

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}.