Given numbers are 466,725,924,502,442

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

The LCM of 466,725,924,502,442 is 8658285335700.

Find LCM of 466,725,924,502,442 with Prime Factorization

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

2 x 233 x 725 x 462 x 251 x 221 = 8658285335700

Therefore, the lowest common multiple of 466,725,924,502,442 is 8658285335700.

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.

466 x 725 x 924 x 502 x 442 = 69266282685600

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.

466 : 1, 2, 233, 466

725 : 1, 5, 25, 29, 145, 725

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

502 : 1, 2, 251, 502

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,725,924,502,442, is 1.

Now, the common factors can be found like this.

466:2x 233

725:5x 5x 29

924:2x 2x 3x 7x 11

502:2x 251

442:2x 13x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 69266282685600/(1x8)

LCM = 69266282685600/8

LCM = 8658285335700

Thus, we can understand that the LCM of 466,725,924,502,442 is 8658285335700.

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

• LCM of 611, 863, 915, 946, 625
• LCM of 364, 923, 319, 233, 331
• LCM of 701, 509, 441, 772, 745
• LCM of 934, 519, 609, 527, 643
• LCM of 903, 539, 795, 227, 989

1. What is the LCM of 466, 725, 924, 502, 442?

Answer: LCM of 466, 725, 924, 502, 442 is 8658285335700.

2. How to calculate the LCM of 466, 725, 924, 502, 442?

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 466, 725, 924, 502, 442.

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}.