Given numbers are 314,338,826,834,433

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

The LCM of 314,338,826,834,433 is 3957221460738.

Find LCM of 314,338,826,834,433 with Prime Factorization

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

2 x 157 x 169 x 413 x 417 x 433 = 3957221460738

Therefore, the lowest common multiple of 314,338,826,834,433 is 3957221460738.

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 338 x 826 x 834 x 433 = 31657771685904

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

338 : 1, 2, 13, 26, 169, 338

826 : 1, 2, 7, 14, 59, 118, 413, 826

834 : 1, 2, 3, 6, 139, 278, 417, 834

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,338,826,834,433, is 1.

Now, the common factors can be found like this.

314:2x 157

338:2x 13x 13

826:2x 7x 59

834:2x 3x 139

433:433

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 2 = 8

Therefore, the value for common factors is 8.

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 = 31657771685904/(1x8)

LCM = 31657771685904/8

LCM = 3957221460738

Thus, we can understand that the LCM of 314,338,826,834,433 is 3957221460738.

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

• LCM of 329, 667, 698, 183, 660
• LCM of 282, 115, 156, 904, 161
• LCM of 614, 685, 442, 171, 468
• LCM of 111, 305, 899, 432, 899
• LCM of 493, 635, 441, 901, 183

1. What is the LCM of 314, 338, 826, 834, 433?

Answer: LCM of 314, 338, 826, 834, 433 is 3957221460738.

2. How to calculate the LCM of 314, 338, 826, 834, 433?

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, 338, 826, 834, 433.

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}.