Given numbers are 814,194,467,829

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

The LCM of 814,194,467,829 is 30568036994.

Find LCM of 814,194,467,829 with Prime Factorization

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

2 x 407 x 97 x 467 x 829 = 30568036994

Therefore, the lowest common multiple of 814,194,467,829 is 30568036994.

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 194 x 467 x 829 = 61136073988

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

194 : 1, 2, 97, 194

467 : 1, 467

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,194,467,829, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

194:2x 97

467:467

829:829

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61136073988/(1x2)

LCM = 61136073988/2

LCM = 30568036994

Thus, we can understand that the LCM of 814,194,467,829 is 30568036994.

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

• LCM of 219, 127, 276, 967
• LCM of 173, 730, 829, 221
• LCM of 410, 888, 697, 476
• LCM of 813, 320, 450, 665
• LCM of 108, 895, 238, 453

1. What is the LCM of 814, 194, 467, 829?

Answer: LCM of 814, 194, 467, 829 is 30568036994.

2. How to calculate the LCM of 814, 194, 467, 829?

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, 194, 467, 829.

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}.