Given numbers are 633,428,507,258,514

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

The LCM of 633,428,507,258,514 is 505982809956.

Find LCM of 633,428,507,258,514 with Prime Factorization

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

2 x 3 x 211 x 214 x 169 x 43 x 257 = 505982809956

Therefore, the lowest common multiple of 633,428,507,258,514 is 505982809956.

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.

633 x 428 x 507 x 258 x 514 = 18215381158416

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.

633 : 1, 3, 211, 633

428 : 1, 2, 4, 107, 214, 428

507 : 1, 3, 13, 39, 169, 507

258 : 1, 2, 3, 6, 43, 86, 129, 258

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,428,507,258,514, is 1.

Now, the common factors can be found like this.

633:3x 211

428:2x 2x 107

507:3x 13x 13

258:2x 3x 43

514:2x 257

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 3 = 36

Therefore, the value for common factors is 36.

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 = 18215381158416/(1x36)

LCM = 18215381158416/36

LCM = 505982809956

Thus, we can understand that the LCM of 633,428,507,258,514 is 505982809956.

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

• LCM of 721, 123, 780, 549, 766
• LCM of 101, 228, 355, 998, 856
• LCM of 939, 210, 645, 342, 631
• LCM of 870, 836, 570, 526, 588
• LCM of 683, 979, 215, 654, 709

1. What is the LCM of 633, 428, 507, 258, 514?

Answer: LCM of 633, 428, 507, 258, 514 is 505982809956.

2. How to calculate the LCM of 633, 428, 507, 258, 514?

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 633, 428, 507, 258, 514.

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}.