Given numbers are 233,403,507,480,405

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

The LCM of 233,403,507,480,405 is 15820103520.

Find LCM of 233,403,507,480,405 with Prime Factorization

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

3 x 5 x 13 x 233 x 31 x 13 x 32 x 27 = 15820103520

Therefore, the lowest common multiple of 233,403,507,480,405 is 15820103520.

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.

233 x 403 x 507 x 480 x 405 = 9254760559200

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.

233 : 1, 233

403 : 1, 13, 31, 403

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,403,507,480,405, is 1.

Now, the common factors can be found like this.

233:233

403:13x 31

507:3x 13x 13

480:2x 2x 2x 2x 2x 3x 5

405:3x 3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 13 = 585

Therefore, the value for common factors is 585.

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 = 9254760559200/(1x585)

LCM = 9254760559200/585

LCM = 15820103520

Thus, we can understand that the LCM of 233,403,507,480,405 is 15820103520.

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

• LCM of 603, 571, 233, 466, 734
• LCM of 575, 737, 384, 980, 807
• LCM of 694, 632, 356, 407, 814
• LCM of 896, 318, 158, 905, 211
• LCM of 100, 439, 667, 231, 778

1. What is the LCM of 233, 403, 507, 480, 405?

Answer: LCM of 233, 403, 507, 480, 405 is 15820103520.

2. How to calculate the LCM of 233, 403, 507, 480, 405?

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 233, 403, 507, 480, 405.

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}.