Given numbers are 864,948,273,348,364

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

The LCM of 864,948,273,348,364 is 180127584.

Find LCM of 864,948,273,348,364 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 72 x 79 x 1 x 29 x 1 = 180127584

Therefore, the lowest common multiple of 864,948,273,348,364 is 180127584.

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.

864 x 948 x 273 x 348 x 364 = 28324702328832

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.

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

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

273 : 1, 3, 7, 13, 21, 39, 91, 273

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,948,273,348,364, is 1.

Now, the common factors can be found like this.

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

948:2x 2x 3x 79

273:3x 7x 13

348:2x 2x 3x 29

364:2x 2x 7x 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 2x 2x 2x 2x 3x 3x 3x 7x 13 = 157248

Therefore, the value for common factors is 157248.

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 = 28324702328832/(1x157248)

LCM = 28324702328832/157248

LCM = 180127584

Thus, we can understand that the LCM of 864,948,273,348,364 is 180127584.

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

• LCM of 468, 334, 455, 467, 187
• LCM of 999, 729, 966, 387, 417
• LCM of 798, 121, 940, 511, 331
• LCM of 184, 829, 986, 610, 365
• LCM of 670, 848, 935, 425, 745

1. What is the LCM of 864, 948, 273, 348, 364?

Answer: LCM of 864, 948, 273, 348, 364 is 180127584.

2. How to calculate the LCM of 864, 948, 273, 348, 364?

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 864, 948, 273, 348, 364.

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}.