Given numbers are 621,814,403,248,214

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

The LCM of 621,814,403,248,214 is 87189627096.

Find LCM of 621,814,403,248,214 with Prime Factorization

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

2 x 31 x 621 x 407 x 13 x 4 x 107 = 87189627096

Therefore, the lowest common multiple of 621,814,403,248,214 is 87189627096.

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.

621 x 814 x 403 x 248 x 214 = 10811513759904

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.

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

403 : 1, 13, 31, 403

248 : 1, 2, 4, 8, 31, 62, 124, 248

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,814,403,248,214, is 1.

Now, the common factors can be found like this.

621:3x 3x 3x 23

814:2x 11x 37

403:13x 31

248:2x 2x 2x 31

214:2x 107

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 31 = 124

Therefore, the value for common factors is 124.

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 = 10811513759904/(1x124)

LCM = 10811513759904/124

LCM = 87189627096

Thus, we can understand that the LCM of 621,814,403,248,214 is 87189627096.

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

• LCM of 419, 733, 352, 883, 165
• LCM of 484, 317, 950, 535, 446
• LCM of 221, 105, 983, 671, 170
• LCM of 920, 465, 169, 204, 685
• LCM of 808, 142, 978, 356, 307

1. What is the LCM of 621, 814, 403, 248, 214?

Answer: LCM of 621, 814, 403, 248, 214 is 87189627096.

2. How to calculate the LCM of 621, 814, 403, 248, 214?

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 621, 814, 403, 248, 214.

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}.