Given numbers are 314,515,814,513,698

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

The LCM of 314,515,814,513,698 is 11783493820890.

Find LCM of 314,515,814,513,698 with Prime Factorization

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

2 x 157 x 515 x 407 x 513 x 349 = 11783493820890

Therefore, the lowest common multiple of 314,515,814,513,698 is 11783493820890.

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.

314 x 515 x 814 x 513 x 698 = 47133975283560

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.

314 : 1, 2, 157, 314

515 : 1, 5, 103, 515

814 : 1, 2, 11, 22, 37, 74, 407, 814

513 : 1, 3, 9, 19, 27, 57, 171, 513

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,515,814,513,698, is 1.

Now, the common factors can be found like this.

314:2x 157

515:5x 103

814:2x 11x 37

513:3x 3x 3x 19

698:2x 349

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47133975283560/(1x4)

LCM = 47133975283560/4

LCM = 11783493820890

Thus, we can understand that the LCM of 314,515,814,513,698 is 11783493820890.

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

• LCM of 100, 675, 467, 720, 737
• LCM of 900, 760, 518, 479, 974
• LCM of 912, 106, 970, 215, 168
• LCM of 378, 527, 514, 732, 402
• LCM of 638, 533, 713, 916, 842

1. What is the LCM of 314, 515, 814, 513, 698?

Answer: LCM of 314, 515, 814, 513, 698 is 11783493820890.

2. How to calculate the LCM of 314, 515, 814, 513, 698?

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 314, 515, 814, 513, 698.

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}.