Given numbers are 339,504,874,864

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

The LCM of 339,504,874,864 is 298656288.

Find LCM of 339,504,874,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 113 x 7 x 437 x 12 = 298656288

Therefore, the lowest common multiple of 339,504,874,864 is 298656288.

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.

339 x 504 x 874 x 864 = 129019516416

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.

339 : 1, 3, 113, 339

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

874 : 1, 2, 19, 23, 38, 46, 437, 874

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 339,504,874,864, is 1.

Now, the common factors can be found like this.

339:3x 113

504:2x 2x 2x 3x 3x 7

874:2x 19x 23

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 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 129019516416/(1x432)

LCM = 129019516416/432

LCM = 298656288

Thus, we can understand that the LCM of 339,504,874,864 is 298656288.

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

• LCM of 804, 457, 288, 485
• LCM of 954, 722, 107, 385
• LCM of 884, 929, 410, 552
• LCM of 543, 428, 108, 215
• LCM of 147, 393, 733, 410

1. What is the LCM of 339, 504, 874, 864?

Answer: LCM of 339, 504, 874, 864 is 298656288.

2. How to calculate the LCM of 339, 504, 874, 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 339, 504, 874, 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}.