Given numbers are 814,171,624,409

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

The LCM of 814,171,624,409 is 5920755984.

Find LCM of 814,171,624,409 with Prime Factorization

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

2 x 3 x 407 x 57 x 104 x 409 = 5920755984

Therefore, the lowest common multiple of 814,171,624,409 is 5920755984.

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 171 x 624 x 409 = 35524535904

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

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,171,624,409, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

171:3x 3x 19

624:2x 2x 2x 2x 3x 13

409:409

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 35524535904/(1x6)

LCM = 35524535904/6

LCM = 5920755984

Thus, we can understand that the LCM of 814,171,624,409 is 5920755984.

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

• LCM of 831, 185, 430, 517
• LCM of 856, 249, 841, 866
• LCM of 523, 670, 745, 764
• LCM of 299, 794, 658, 555
• LCM of 301, 800, 381, 745

1. What is the LCM of 814, 171, 624, 409?

Answer: LCM of 814, 171, 624, 409 is 5920755984.

2. How to calculate the LCM of 814, 171, 624, 409?

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, 171, 624, 409.

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}.