Given numbers are 734,311,345,819

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

The LCM of 734,311,345,819 is 21499986690.

Find LCM of 734,311,345,819 with Prime Factorization

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

3 x 734 x 311 x 115 x 273 = 21499986690

Therefore, the lowest common multiple of 734,311,345,819 is 21499986690.

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.

734 x 311 x 345 x 819 = 64499960070

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.

734 : 1, 2, 367, 734

311 : 1, 311

345 : 1, 3, 5, 15, 23, 69, 115, 345

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,311,345,819, is 1.

Now, the common factors can be found like this.

734:2x 367

311:311

345:3x 5x 23

819:3x 3x 7x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 64499960070/(1x3)

LCM = 64499960070/3

LCM = 21499986690

Thus, we can understand that the LCM of 734,311,345,819 is 21499986690.

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

• LCM of 466, 254, 708, 943
• LCM of 325, 825, 300, 843
• LCM of 301, 413, 287, 885
• LCM of 370, 236, 227, 897
• LCM of 800, 683, 898, 199

1. What is the LCM of 734, 311, 345, 819?

Answer: LCM of 734, 311, 345, 819 is 21499986690.

2. How to calculate the LCM of 734, 311, 345, 819?

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 734, 311, 345, 819.

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}.