Given numbers are 417,368,621,816

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

The LCM of 417,368,621,816 is 23478768.

Find LCM of 417,368,621,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 139 x 1 x 9 x 17 = 23478768

Therefore, the lowest common multiple of 417,368,621,816 is 23478768.

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.

417 x 368 x 621 x 816 = 77761679616

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.

417 : 1, 3, 139, 417

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,368,621,816, is 1.

Now, the common factors can be found like this.

417:3x 139

368:2x 2x 2x 2x 23

621:3x 3x 3x 23

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

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 77761679616/(1x3312)

LCM = 77761679616/3312

LCM = 23478768

Thus, we can understand that the LCM of 417,368,621,816 is 23478768.

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

• LCM of 888, 968, 878, 785
• LCM of 296, 970, 777, 666
• LCM of 321, 943, 463, 465
• LCM of 740, 496, 976, 263
• LCM of 603, 951, 944, 217

1. What is the LCM of 417, 368, 621, 816?

Answer: LCM of 417, 368, 621, 816 is 23478768.

2. How to calculate the LCM of 417, 368, 621, 816?

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 417, 368, 621, 816.

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}.