Given numbers are 258,629,350,864

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

The LCM of 258,629,350,864 is 4089506400.

Find LCM of 258,629,350,864 with Prime Factorization

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

2 x 3 x 43 x 629 x 175 x 144 = 4089506400

Therefore, the lowest common multiple of 258,629,350,864 is 4089506400.

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.

258 x 629 x 350 x 864 = 49074076800

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.

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

629 : 1, 17, 37, 629

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,629,350,864, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

629:17x 37

350:2x 5x 5x 7

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 49074076800/(1x12)

LCM = 49074076800/12

LCM = 4089506400

Thus, we can understand that the LCM of 258,629,350,864 is 4089506400.

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

• LCM of 984, 665, 867, 296
• LCM of 200, 379, 353, 430
• LCM of 289, 350, 375, 115
• LCM of 383, 614, 927, 219
• LCM of 510, 904, 344, 115

1. What is the LCM of 258, 629, 350, 864?

Answer: LCM of 258, 629, 350, 864 is 4089506400.

2. How to calculate the LCM of 258, 629, 350, 864?

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 258, 629, 350, 864.

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}.