Given numbers are 412,112,428,487

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

The LCM of 412,112,428,487 is 601129424.

Find LCM of 412,112,428,487 with Prime Factorization

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

2 x 2 x 103 x 28 x 107 x 487 = 601129424

Therefore, the lowest common multiple of 412,112,428,487 is 601129424.

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 112 x 428 x 487 = 9618070784

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

428 : 1, 2, 4, 107, 214, 428

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,112,428,487, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

112:2x 2x 2x 2x 7

428:2x 2x 107

487:487

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 2 = 16

Therefore, the value for common factors is 16.

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 = 9618070784/(1x16)

LCM = 9618070784/16

LCM = 601129424

Thus, we can understand that the LCM of 412,112,428,487 is 601129424.

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

• LCM of 210, 333, 629, 405
• LCM of 319, 275, 681, 715
• LCM of 936, 179, 628, 155
• LCM of 859, 259, 226, 285
• LCM of 946, 181, 711, 708

1. What is the LCM of 412, 112, 428, 487?

Answer: LCM of 412, 112, 428, 487 is 601129424.

2. How to calculate the LCM of 412, 112, 428, 487?

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, 112, 428, 487.

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}.