Given numbers are 478,412,302,284

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

The LCM of 478,412,302,284 is 1055675428.

Find LCM of 478,412,302,284 with Prime Factorization

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

2 x 2 x 239 x 103 x 151 x 71 = 1055675428

Therefore, the lowest common multiple of 478,412,302,284 is 1055675428.

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.

478 x 412 x 302 x 284 = 16890806848

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.

478 : 1, 2, 239, 478

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

302 : 1, 2, 151, 302

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 478,412,302,284, is 2.

Now, the common factors can be found like this.

478:2x 239

412:2x 2x 103

302:2x 151

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16890806848/(2x8)

LCM = 16890806848/16

LCM = 1055675428

Thus, we can understand that the LCM of 478,412,302,284 is 1055675428.

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

• LCM of 178, 916, 624, 639
• LCM of 290, 867, 835, 245
• LCM of 416, 625, 742, 575
• LCM of 805, 849, 861, 929
• LCM of 590, 421, 586, 841

1. What is the LCM of 478, 412, 302, 284?

Answer: LCM of 478, 412, 302, 284 is 1055675428.

2. How to calculate the LCM of 478, 412, 302, 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 478, 412, 302, 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}.