Given numbers are 213,426,642,417,466

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

The LCM of 213,426,642,417,466 is 1476264234.

Find LCM of 213,426,642,417,466 with Prime Factorization

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

2 x 3 x 71 x 1 x 1 x 107 x 139 x 233 = 1476264234

Therefore, the lowest common multiple of 213,426,642,417,466 is 1476264234.

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.

213 x 426 x 642 x 417 x 466 = 11319994146312

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.

213 : 1, 3, 71, 213

426 : 1, 2, 3, 6, 71, 142, 213, 426

642 : 1, 2, 3, 6, 107, 214, 321, 642

417 : 1, 3, 139, 417

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,426,642,417,466, is 1.

Now, the common factors can be found like this.

213:3x 71

426:2x 3x 71

642:2x 3x 107

417:3x 139

466:2x 233

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 71 = 7668

Therefore, the value for common factors is 7668.

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 = 11319994146312/(1x7668)

LCM = 11319994146312/7668

LCM = 1476264234

Thus, we can understand that the LCM of 213,426,642,417,466 is 1476264234.

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

• LCM of 833, 391, 143, 819, 152
• LCM of 169, 805, 890, 258, 599
• LCM of 926, 371, 978, 901, 771
• LCM of 578, 403, 465, 308, 643
• LCM of 338, 906, 204, 105, 607

1. What is the LCM of 213, 426, 642, 417, 466?

Answer: LCM of 213, 426, 642, 417, 466 is 1476264234.

2. How to calculate the LCM of 213, 426, 642, 417, 466?

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 213, 426, 642, 417, 466.

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}.