Given numbers are 814,138,433,134,692

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

The LCM of 814,138,433,134,692 is 563783411796.

Find LCM of 814,138,433,134,692 with Prime Factorization

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

2 x 407 x 69 x 433 x 67 x 346 = 563783411796

Therefore, the lowest common multiple of 814,138,433,134,692 is 563783411796.

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.

814 x 138 x 433 x 134 x 692 = 4510267294368

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

433 : 1, 433

134 : 1, 2, 67, 134

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,138,433,134,692, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

138:2x 3x 23

433:433

134:2x 67

692:2x 2x 173

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 = 4510267294368/(1x8)

LCM = 4510267294368/8

LCM = 563783411796

Thus, we can understand that the LCM of 814,138,433,134,692 is 563783411796.

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

• LCM of 690, 655, 231, 262, 198
• LCM of 497, 906, 771, 597, 868
• LCM of 219, 667, 287, 340, 803
• LCM of 791, 820, 912, 467, 182
• LCM of 537, 290, 997, 778, 657

1. What is the LCM of 814, 138, 433, 134, 692?

Answer: LCM of 814, 138, 433, 134, 692 is 563783411796.

2. How to calculate the LCM of 814, 138, 433, 134, 692?

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 814, 138, 433, 134, 692.

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}.