Given numbers are 348,816,417,920

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

The LCM of 348,816,417,920 is 378269040.

Find LCM of 348,816,417,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 34 x 139 x 115 = 378269040

Therefore, the lowest common multiple of 348,816,417,920 is 378269040.

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.

348 x 816 x 417 x 920 = 108941483520

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.

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

417 : 1, 3, 139, 417

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,816,417,920, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

816:2x 2x 2x 2x 3x 17

417:3x 139

920:2x 2x 2x 5x 23

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 108941483520/(1x288)

LCM = 108941483520/288

LCM = 378269040

Thus, we can understand that the LCM of 348,816,417,920 is 378269040.

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

• LCM of 847, 361, 487, 192
• LCM of 929, 154, 437, 280
• LCM of 100, 854, 621, 263
• LCM of 932, 709, 825, 533
• LCM of 987, 893, 145, 377

1. What is the LCM of 348, 816, 417, 920?

Answer: LCM of 348, 816, 417, 920 is 378269040.

2. How to calculate the LCM of 348, 816, 417, 920?

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 348, 816, 417, 920.

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}.