Given numbers are 412,478,312,740,284

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

The LCM of 412,478,312,740,284 is 100883420040.

Find LCM of 412,478,312,740,284 with Prime Factorization

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

2 x 2 x 103 x 239 x 78 x 185 x 71 = 100883420040

Therefore, the lowest common multiple of 412,478,312,740,284 is 100883420040.

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.

412 x 478 x 312 x 740 x 284 = 12913077765120

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.

412 : 1, 2, 4, 103, 206, 412

478 : 1, 2, 239, 478

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,478,312,740,284, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

478:2x 239

312:2x 2x 2x 3x 13

740:2x 2x 5x 37

284:2x 2x 71

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 2 = 64

Therefore, the value for common factors is 64.

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 = 12913077765120/(2x64)

LCM = 12913077765120/128

LCM = 100883420040

Thus, we can understand that the LCM of 412,478,312,740,284 is 100883420040.

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

• LCM of 931, 543, 348, 210, 248
• LCM of 634, 707, 489, 919, 413
• LCM of 136, 111, 715, 309, 114
• LCM of 328, 812, 237, 164, 910
• LCM of 427, 175, 208, 170, 417

1. What is the LCM of 412, 478, 312, 740, 284?

Answer: LCM of 412, 478, 312, 740, 284 is 100883420040.

2. How to calculate the LCM of 412, 478, 312, 740, 284?

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 412, 478, 312, 740, 284.

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}.