Given numbers are 534,258,261,624

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

The LCM of 534,258,261,624 is 207760176.

Find LCM of 534,258,261,624 with Prime Factorization

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

2 x 3 x 89 x 43 x 87 x 104 = 207760176

Therefore, the lowest common multiple of 534,258,261,624 is 207760176.

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.

534 x 258 x 261 x 624 = 22438099008

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

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

261 : 1, 3, 9, 29, 87, 261

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,258,261,624, is 3.

Now, the common factors can be found like this.

534:2x 3x 89

258:2x 3x 43

261:3x 3x 29

624:2x 2x 2x 2x 3x 13

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 = 22438099008/(3x36)

LCM = 22438099008/108

LCM = 207760176

Thus, we can understand that the LCM of 534,258,261,624 is 207760176.

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

• LCM of 133, 646, 144, 676
• LCM of 451, 311, 792, 392
• LCM of 616, 339, 365, 492
• LCM of 712, 696, 662, 985
• LCM of 890, 355, 732, 932

1. What is the LCM of 534, 258, 261, 624?

Answer: LCM of 534, 258, 261, 624 is 207760176.

2. How to calculate the LCM of 534, 258, 261, 624?

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 534, 258, 261, 624.

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}.