Given numbers are 214,794,366,976,520

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

The LCM of 214,794,366,976,520 is 8084603280.

Find LCM of 214,794,366,976,520 with Prime Factorization

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

2 x 2 x 2 x 61 x 107 x 397 x 3 x 2 x 65 = 8084603280

Therefore, the lowest common multiple of 214,794,366,976,520 is 8084603280.

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.

214 x 794 x 366 x 976 x 520 = 31562291205120

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.

214 : 1, 2, 107, 214

794 : 1, 2, 397, 794

366 : 1, 2, 3, 6, 61, 122, 183, 366

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,794,366,976,520, is 2.

Now, the common factors can be found like this.

214:2x 107

794:2x 397

366:2x 3x 61

976:2x 2x 2x 2x 61

520:2x 2x 2x 5x 13

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 2x 2x 2x 61 = 1952

Therefore, the value for common factors is 1952.

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 = 31562291205120/(2x1952)

LCM = 31562291205120/3904

LCM = 8084603280

Thus, we can understand that the LCM of 214,794,366,976,520 is 8084603280.

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

• LCM of 293, 464, 300, 671, 579
• LCM of 802, 743, 127, 637, 316
• LCM of 249, 502, 635, 696, 243
• LCM of 695, 612, 412, 101, 739
• LCM of 728, 182, 928, 479, 943

1. What is the LCM of 214, 794, 366, 976, 520?

Answer: LCM of 214, 794, 366, 976, 520 is 8084603280.

2. How to calculate the LCM of 214, 794, 366, 976, 520?

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 214, 794, 366, 976, 520.

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}.