Given numbers are 309,738,136,809

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

The LCM of 309,738,136,809 is 4181682168.

Find LCM of 309,738,136,809 with Prime Factorization

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

2 x 3 x 103 x 123 x 68 x 809 = 4181682168

Therefore, the lowest common multiple of 309,738,136,809 is 4181682168.

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.

309 x 738 x 136 x 809 = 25090093008

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.

309 : 1, 3, 103, 309

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

136 : 1, 2, 4, 8, 17, 34, 68, 136

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,738,136,809, is 1.

Now, the common factors can be found like this.

309:3x 103

738:2x 3x 3x 41

136:2x 2x 2x 17

809:809

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 = 25090093008/(1x6)

LCM = 25090093008/6

LCM = 4181682168

Thus, we can understand that the LCM of 309,738,136,809 is 4181682168.

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

• LCM of 579, 752, 658, 932
• LCM of 162, 977, 892, 395
• LCM of 625, 237, 977, 961
• LCM of 610, 932, 261, 296
• LCM of 521, 370, 759, 469

1. What is the LCM of 309, 738, 136, 809?

Answer: LCM of 309, 738, 136, 809 is 4181682168.

2. How to calculate the LCM of 309, 738, 136, 809?

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 309, 738, 136, 809.

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}.