Given numbers are 873,711,794,828,414

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

The LCM of 873,711,794,828,414 is 2518950708.

Find LCM of 873,711,794,828,414 with Prime Factorization

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

2 x 3 x 3 x 23 x 97 x 79 x 397 x 2 x 1 = 2518950708

Therefore, the lowest common multiple of 873,711,794,828,414 is 2518950708.

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.

873 x 711 x 794 x 828 x 414 = 168940986084144

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.

873 : 1, 3, 9, 97, 291, 873

711 : 1, 3, 9, 79, 237, 711

794 : 1, 2, 397, 794

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,711,794,828,414, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

711:3x 3x 79

794:2x 397

828:2x 2x 3x 3x 23

414:2x 3x 3x 23

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 3x 3x 3x 3x 3x 3x 23 = 67068

Therefore, the value for common factors is 67068.

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 = 168940986084144/(1x67068)

LCM = 168940986084144/67068

LCM = 2518950708

Thus, we can understand that the LCM of 873,711,794,828,414 is 2518950708.

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

• LCM of 760, 947, 271, 402, 371
• LCM of 998, 893, 714, 624, 250
• LCM of 772, 547, 983, 980, 330
• LCM of 900, 326, 255, 827, 916
• LCM of 243, 512, 732, 864, 707

1. What is the LCM of 873, 711, 794, 828, 414?

Answer: LCM of 873, 711, 794, 828, 414 is 2518950708.

2. How to calculate the LCM of 873, 711, 794, 828, 414?

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 873, 711, 794, 828, 414.

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}.